Reviewed by Jo-ann Caballes
What is 7.5 as a Fraction?
Answer: 7.5 as a fraction is 15/2
The process of converting a decimal number like 7.5 into a fraction involves expressing it as a ratio of two integers. This is helpful for understanding and working with numbers in various mathematical contexts, especially in algebra, measurement, and financial calculations.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the position of the decimal to write the number as a fraction and then simplifies it.
Step 1: Step 1: Write 7.5 as 75/10 because the decimal is one place after the point
Step 2: Step 2: Simplify 75/10 by dividing both the numerator and denominator by 5, giving 15/2
Math Tutor Explanation Using Mixed Number Conversion
Another way is to recognize the whole and fractional parts, then combine them.
Step 1: Step 1: Split 7.5 into 7 (whole number) and 0.5 (fractional part)
Step 2: Step 2: Convert 0.5 to 1/2, then write as 7 + 1/2, which equals 15/2 when expressed as an improper fraction
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Practice
Deepen your understanding of converting decimals to fractions with these similar exercises.
FAQ on Converting Decimals to Fractions
How do you convert a decimal like 7.5 to a fraction?
Write the decimal as a fraction with the appropriate denominator, then simplify.
Is 7.5 as a fraction always 15/2?
Yes, when simplified, 7.5 as a fraction is always 15/2.
What is the mixed number form of 7.5?
As a mixed number, 7 1/2.
Why do we simplify fractions after converting from decimals?
Simplifying makes the fraction easier to understand and compare with others.
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