{"id":41535,"date":"2026-09-21T11:39:13","date_gmt":"2026-09-21T11:39:13","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=41535"},"modified":"2026-09-21T11:41:08","modified_gmt":"2026-09-21T11:41:08","slug":"1-divided-by-7","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/1-divided-by-7\/","title":{"rendered":"What Is 1\/7 as a Decimal? Answer & Explanation"},"content":{"rendered":"\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n Have you ever noticed that some division problems seem to go on forever? 1 divided by 7 is one of them.<\/strong> The answer is a repeating decimal with a surprisingly neat pattern.\r\n <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n What Is 1 Divided by 7?\r\n <\/h2>\r\n\r\n
\r\n
\r\n 1 divided by 7 = 1\/7 = 0.142857142857...\r\n <\/div>\r\n

\r\n The digits 142857<\/strong> repeat forever, so we can also write the answer as:\r\n <\/p>\r\n

\r\n 1 \u00f7 7 = 0.\\overline{142857}\r\n <\/div>\r\n <\/div>\r\n\r\n

\r\n In fraction form, the answer is simply 1\/7<\/strong>, which is called one-seventh<\/strong>.\r\n <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n How Do You Calculate 1 \u00f7 7?\r\n <\/h2>\r\n\r\n

Using long division:<\/p>\r\n\r\n

\r\n \r\n \r\n \r\n \r\n
Step<\/th>\r\n Calculation<\/th>\r\n Remainder<\/th>\r\n <\/tr>\r\n <\/thead>\r\n
1<\/td>10 \u00f7 7 = 1<\/td>3<\/td><\/tr>\r\n
2<\/td>30 \u00f7 7 = 4<\/td>2<\/td><\/tr>\r\n
3<\/td>20 \u00f7 7 = 2<\/td>6<\/td><\/tr>\r\n
4<\/td>60 \u00f7 7 = 8<\/td>4<\/td><\/tr>\r\n
5<\/td>40 \u00f7 7 = 5<\/td>5<\/td><\/tr>\r\n
6<\/td>50 \u00f7 7 = 7<\/td>1<\/td><\/tr>\r\n <\/tbody>\r\n <\/table>\r\n <\/div>\r\n\r\n
\r\n

So the digits after the decimal point are:<\/p>\r\n

\r\n 1 \u2192 4 \u2192 2 \u2192 8 \u2192 5 \u2192 7\r\n <\/p>\r\n

\r\n giving:
\r\n 1 \u00f7 7 = 0.142857142857...<\/strong>\r\n <\/p>\r\n <\/div>\r\n\r\n

\r\n The remainder eventually becomes 1 again<\/strong>. Once that happens, the same sequence of division steps starts over, which is why the digits repeat.\r\n <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n Why Does 1\/7<\/span> Have a Repeating Decimal?\r\n <\/h2>\r\n\r\n

\r\n A decimal repeats when the long-division process returns to a remainder it has already had.\r\n <\/p>\r\n\r\n

\r\n For 1 \u00f7 7, the remainders cycle through:\r\n <\/p>\r\n\r\n

\r\n 1 \u2192 3 \u2192 2 \u2192 6 \u2192 4 \u2192 5 \u2192 1\r\n <\/div>\r\n\r\n

\r\n There are six digits in the repeating block, 142857<\/strong>. This is a direct consequence of the long-division process: once a previous remainder returns, the following digits repeat as well.\r\n <\/p>\r\n\r\n

\r\n So 1\/7 is a repeating decimal, not a terminating decimal<\/strong>.\r\n <\/div>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n Is 0.142857 the Exact Answer?\r\n <\/h2>\r\n\r\n
\r\n
\r\n Not quite.<\/strong>\r\n <\/div>\r\n <\/div>\r\n\r\n

\r\n 0.142857<\/strong> is a rounded version of the answer to six decimal places. The exact decimal continues:\r\n <\/p>\r\n\r\n

\r\n 0.142857142857142857...\r\n <\/div>\r\n\r\n

\r\n Therefore, the most accurate ways to write the answer are:\r\n <\/p>\r\n\r\n

\r\n
\r\n Fraction:<\/strong>
\r\n 1\/7\r\n <\/div>\r\n\r\n
\r\n Exact repeating decimal:<\/strong>
\r\n 0.\\overline{142857}\r\n <\/div>\r\n\r\n
\r\n Approximate decimal:<\/strong>
\r\n 0.142857\r\n <\/div>\r\n <\/div>\r\n\r\n

\r\n This distinction is useful whenever a calculator displays only a limited number of decimal places.\r\n <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n

\r\n A Fun Fact About 142857\r\n <\/h2>\r\n\r\n

\r\n The repeating block 142857<\/strong> has an interesting pattern. When multiplied by numbers from 1 through 6, its digits cycle:\r\n <\/p>\r\n\r\n

\r\n
\r\n 142857 \u00d7 1 = 142857\r\n <\/div>\r\n
\r\n 142857 \u00d7 2 = 285714\r\n <\/div>\r\n
\r\n 142857 \u00d7 3 = 428571\r\n <\/div>\r\n <\/div>\r\n\r\n
\r\n The same six digits appear in a different order. The fractions 1\/7 through 6\/7 show related rotations of this same six-digit cycle.\r\n <\/div>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n
\r\n
\r\n \u2713\r\n <\/div>\r\n

\r\n Quick Answer\r\n <\/h3>\r\n <\/div>\r\n\r\n

\r\n 1 divided by 7 equals 1\/7, or 0.142857142857... as a repeating decimal. The repeating sequence is 142857.<\/strong>\r\n <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t
\r\n\r\n
\r\n
\r\n KEEP EXPLORING\r\n <\/div>\r\n\r\n

\r\n Explore more math topics related to division, fractions, decimals, measurements, and everyday math.\r\n <\/p>\r\n <\/div>\r\n\r\n

\r\n\r\n \r\n
\r\n
DIVISION<\/div>\r\n
What is 20 Divided by 7?<\/div>\r\n
Continue exploring division and repeating decimals \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
GEOMETRY<\/div>\r\n
What is a 45 Degree Angle?<\/div>\r\n
Move from number patterns to angles \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
FRACTIONS<\/div>\r\n
What is 1.25 as a Fraction?<\/div>\r\n
See how decimals can be represented as fractions \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
MEASUREMENT<\/div>\r\n
What is 28 degrees Celsius in Fahrenheit?<\/div>\r\n
Practice another useful math conversion \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
CALCULUS<\/div>\r\n
What is the Integral of 1\/x?<\/div>\r\n
Take your math exploration one step further \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
MONEY MATH<\/div>\r\n
How Much is a Dime?<\/div>\r\n
Connect math with everyday money \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
NUMBERS<\/div>\r\n
How Do You Spell Thousand?<\/div>\r\n
Explore numbers beyond calculations \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
PERCENTAGES<\/div>\r\n
What is 20% of 60?<\/div>\r\n
Practice another essential number skill \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
FRACTION COMPARISON<\/div>\r\n
Is 3\/8 Bigger Than 1\/4?<\/div>\r\n
Compare fractions and strengthen number sense \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n \r\n
\r\n
NUMBER NAMES<\/div>\r\n
How to Write 90000 in Words?<\/div>\r\n
Keep building confidence with large numbers \u2192<\/div>\r\n <\/div>\r\n <\/a>\r\n\r\n <\/div>\r\n\r\n
\r\n From fractions and division to percentages and measurement, there is always another math concept to explore.\r\n <\/div>\r\n\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t
\n\t\t\t\t

Want to excite your child about math and sharpen their math skills? Moonpreneur\u2019s online math curriculum is unique because it helps children build math skills through hands-on lessons, supports them in developing real-world applications, and excites them about learning math.\u00a0<\/p>

You can opt for our\u00a0Advanced Math<\/a>\u00a0or Vedic Math+Mental Math courses. Our\u00a0Math Quiz<\/a>\u00a0for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.`<\/p><\/div><\/div><\/div><\/div>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Have you ever noticed that some division problems seem to go on forever? 1 divided by 7 is one of them. The answer is a repeating decimal with a surprisingly neat pattern. What Is 1 Divided by 7? 1 divided by 7 = 1\/7 = 0.142857142857… The digits 142857 repeat forever, so we can also […]<\/p>\n","protected":false},"author":116,"featured_media":41537,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[969,1035],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41535"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=41535"}],"version-history":[{"count":8,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41535\/revisions"}],"predecessor-version":[{"id":41545,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41535\/revisions\/41545"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/41537"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=41535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=41535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=41535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}