Reviewed by Mary Grace Carlos
What is 3/8 as a decimal?
Answer: 3/8 as a decimal is 0.375
When converting a fraction like 3/8 into its decimal form, you are expressing how many parts out of a whole eight are represented by three. This process involves basic division, making it a useful skill for comparing values in everyday math and for various applications such as measurement or finances.
Methods
Math Tutor Explanation Using the Division Method
One straightforward way to convert 3/8 into a decimal is to divide the numerator (3) by the denominator (8) using simple division.
Step 1: Step 1: Divide the numerator 3 by the denominator 8
Step 2: Step 2: Perform the division 3 ÷ 8, which equals 0.375
Math Tutor Explanation Using Fraction Equivalence with Denominator of 1000
Another method is to find an equivalent fraction with a denominator of 1000 or 100, making it easier to identify the decimal form.
Step 1: Step 1: Convert 3/8 to an equivalent fraction with a denominator of 1000 (since 8 × 125 = 1000, multiply numerator and denominator by 125)
Step 2: Step 2: 3 × 125 = 375, so the equivalent fraction is 375/1000, which as a decimal is 0.375
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Strengthen your skills in converting fractions to decimals with these similar questions.
FAQ on Converting Fractions to Decimals
Why do we convert fractions to decimals?
Decimals are easier to compare and use in calculations such as addition, subtraction, and percentages.
Is 3/8 a terminating decimal?
Yes, 3/8 is a terminating decimal since its decimal form (0.375) ends after a finite number of digits.
How can I check my answer when converting fractions to decimals?
Multiply the decimal by the denominator; if you arrive back at the numerator, your conversion is correct.
Can every fraction be converted to a decimal?
Yes, every fraction can be converted to a decimal, but some may be repeating decimals rather than terminating.
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