What is 0.875 as a fraction?
Have you ever wondered what 0.875 as a fraction looks like? Whether you’re a student trying to complete your homework or a parent helping your child, converting decimals into fractions can seem tricky—but it’s actually very easy! Let’s break it down step-by-step so you’ll never forget how to do it again.
What is 0.875 as a Fraction?
Answer:
The value of 0.875 as a fraction in its simplest form is 7/8.
How to Convert 0.875 into a Fraction?
Let’s understand how to convert 0.875 to a fraction step-by-step:
Step 1: Count the Decimal Places
There are three digits after the decimal in 0.875, so we can write:
0.875 = 875/1000
0.875 = 7/8
Step 2: Simplify the Fraction
Now simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor (GCD).
- GCD of 875 and 1000 is 125
- 875 ÷ 125 = 7
- 1000 ÷ 125 = 8
- So, 875/1000 = 7/8
✅ So, 0.875 = 7/8
Visual Representation
Think of a pizza cut into 8 equal slices. If you eat 7 slices, you’ve eaten 7/8 of the pizza. That’s the same as 0.875!
Why Does 0.875 Equal 7/8?
The decimal 0.875 is the result of dividing 7 by 8:
7 ÷ 8 = 0.875
or
7/8 = 0.875
So converting back and forth between decimals and fractions helps you understand proportions, measurements, and real-life math like money, recipes, and percentages.
Decimal to Fraction Conversion Table
| Decimal | Fraction | Simplest Form |
|---|---|---|
| 0.125 | 125/1000 | 1/8 |
| 0.25 | 250/1000 | 1/4 |
| 0.375 | 375/1000 | 3/8 |
| 0.5 | 500/1000 | 1/2 |
| 0.625 | 625/1000 | 5/8 |
| 0.875 | 875/1000 | 7/8 |
Tips for Students
- Terminating decimals (like 0.875) are easy to convert into fractions.
- Use place value: Tenths (1 digit), Hundredths (2 digits), Thousandths (3 digits).
- Always simplify the fraction to its lowest terms.
Real-Life Examples of 0.875
- Money: If you have $0.875, you have 7/8 of a dollar.
- Time: 0.875 hours = 52.5 minutes.
- Cooking: A recipe might need 0.875 cups of milk, which is the same as 7/8 cups.
Fun Fact
0.875 is a rational number because it can be written as a fraction of two integers. All terminating and repeating decimals are rational numbers.
Final Answer
0.875 = 7/8
OR
7 ÷ 8 = 0.875
Summary
- What is 0.875 as a fraction? It’s 7/8.
- How to convert 0.875 to a fraction?
- Write it as 875/1000 and simplify to 7/8.
Conclusion
So, what is 0.875 as a fraction? It’s 7/8! Whether you’re learning this for school, helping your kids, or just brushing up on your math skills, converting decimals to fractions is a valuable tool. Keep practicing, and you’ll master it in no time!
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