Reviewed by Phoebe Belza-Barrientos
What is 0.875 as a fraction?
Answer: 0.875 as a fraction is 7/8
Converting decimals to fractions is a common operation in math that helps represent a decimal value as the ratio of two integers. When converting 0.875 to a fraction, we are looking for two whole numbers where their division equals 0.875.
Methods
Math Tutor Explanation Using the Place Value Method
This method converts the decimal directly to a fraction by expressing the decimal over its place value denominator and then simplifying.
Step 1: Step 1: Write 0.875 as 875/1000 since the decimal goes to the thousandths place
Step 2: Step 2: Simplify 875/1000 by dividing both numerator and denominator by their greatest common divisor, which is 125
Math Tutor Explanation Using the Division Back Method
You can verify how the decimal relates to its fractional representation by division, confirming the result makes sense.
Step 1: Step 1: Divide 7 by 8 to check if it equals 0.875
Step 2: Step 2: 7 ÷ 8 equals 0.875, so 0.875 as a fraction is correctly 7/8
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Want to strengthen your understanding of converting decimals to fractions? Check out these similar questions for more practice and insights.
FAQ on Converting Decimals to Fractions
Can all decimals be converted to fractions?
All terminating and repeating decimals can be expressed as fractions.
How do you simplify a fraction after conversion?
Divide both numerator and denominator by their greatest common divisor (GCD).
What is the fraction for 0.5?
0.5 as a fraction is 1/2.
What if the decimal is repeating?
A repeating decimal can also be converted, often using algebraic methods.
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