Reviewed by Jessica Kaminski
What is 7.5 as a fraction in simplest form?
Answer: 7.5 as a fraction in simplest form is 15/2
Converting decimals to fractions is a fundamental math skill that allows you to express non-whole numbers as ratios of integers. When given a decimal like 7.5, you can write it as a fraction and then simplify it so that both the numerator and denominator have no common factors other than 1. Let's explore how to do this step by step.
Methods
Math Tutor Explanation Using the Fraction Conversion Method
This method involves rewriting the decimal number over a power of 10 and simplifying the result to lowest terms.
Step 1: Step 1: Write 7.5 as 75/10 by moving the decimal point one place to the right
Step 2: Step 2: Simplify 75/10 by dividing both the numerator and denominator by 5 to get 15/2
Math Tutor Explanation Using Mixed Number Conversion
You can also express 7.5 as a mixed number and then convert it to an improper fraction.
Step 1: Step 1: Recognize that 7.5 is 7 and a half, or 7 1/2
Step 2: Step 2: Convert 7 1/2 into an improper fraction: (7 × 2) + 1 = 15, so 7 1/2 = 15/2
Step 1:
Step 2:
Math Tutor suggests: Practice Writing Decimals as Fractions
Looking to strengthen your skills in converting decimals to fractions? Check out these related exercises for more practice!
FAQ on Converting Decimals to Fractions
How do you convert a decimal to a fraction?
Write the decimal over the appropriate power of ten and simplify.
Why is 7.5 equal to 15/2 as a fraction?
Because 7.5 divided by 1 equals 75 divided by 10, which simplifies to 15/2.
Can all decimals be expressed as fractions?
Only terminating and repeating decimals can be exactly expressed as fractions.
What is 0.5 as a fraction in simplest form?
0.5 as a fraction is 1/2.
What if the decimal has more than one decimal place?
Count the decimal places and write the number over the corresponding power of ten, then simplify.
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