If you’re wondering what is 1.25 as a fraction, the short answer is:
1.25 as a fraction in simplest form is 5/4.
It can also be written as the mixed number 1¼.
If you’re helping a child with homework or brushing up on decimals and fractions yourself, don’t worry—this conversion is easier than it looks. Let’s go through it one step at a time so you understand not only the answer but also why it works.
How to Convert 1.25 into a Fraction
Follow these simple steps.
Step 1: Write the decimal as a fraction
Since 1.25 has two digits after the decimal point, write it over 100.
Step 2: Find the Greatest Common Factor (GCF)
The greatest common factor of 125 and 100 is 25.
Step 3: Simplify the fraction
Divide both the numerator and denominator by 25.
Why Does This Method Work?
A decimal is simply another way of writing a fraction.
Because 1.25 has two decimal places, it means 125 hundredths.
So,
The fraction 125/100 and 5/4 represent exactly the same value. We simplify it by dividing both numbers by their greatest common factor so the fraction is easier to read and use.
1.25 as a Mixed Number
The fraction 5/4 is an improper fraction because the numerator is greater than the denominator.
To convert it into a mixed number:
- 4 goes into 5 one time.
- The remainder is 1.
So,
Depending on your math class, you may be asked to give the answer as either 5/4 or 1¼. Both are correct.
What Is -1.25 as a Fraction?
Negative Decimal to Fraction
The same steps apply to negative decimals.
Now simplify by dividing both numbers by 25.
So, −1.25 as a fraction is −5⁄4, or −1¼ as a mixed number.
Common Mistakes Students Make
A few small mistakes can lead to the wrong answer.
Remember, 1.25 has two decimal places, so the denominator should be 100.
Where You Might See This in Real Life
Fractions and decimals appear in everyday situations.
- Money: $1.25 can also be thought of as 5/4 dollars.
- Recipes: A recipe calling for 1.25 cups is the same as 1¼ cups.
- Measurements: A length of 1.25 meters equals 5/4 meters.
Knowing how to switch between decimals and fractions makes these situations much easier.
Quick Quiz: Test Your Understanding
Think you’ve mastered the basics? Answer these three quick questions to check your understanding before moving on.
- ☐ 125⁄100
- ☑ 5⁄4
- ☐ 1⁄25
- ☐ 4⁄5
- ☐ 5⅓
- ☑ 1¼
- ☐ 2¼
- ☐ 4⁄5
- ☐ 5⁄4
- ☑ −5⁄4
- ☐ −125⁄10
- ☐ −1⁄4
Homework Tip for Parents
If your child writes 125/100, they’re already on the right track. Before moving on, ask one simple question:
“Can both numbers be divided by the same number?”
This encourages children to look for the greatest common factor and helps them build the habit of simplifying every fraction to its lowest terms.
Frequently Asked Questions
Ans. 1.25 as a fraction is 5/4.
Ans. The simplest form is 5/4.
Ans. Yes. 5/4 can also be written as 1¼.
Ans. -1.25 as a fraction is -5/4.
Ans. Because 1.25 has two digits after the decimal point, removing the decimal requires multiplying by 100, giving 125/100.
Final Thought
1.25 as a fraction in simplest form is 5/4.
It can also be written as the mixed number 1¼. To find the answer, write 1.25 as 125/100, then simplify by dividing both the numerator and denominator by 25. The same method works for negative decimals, so -1.25 = -5/4.
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