Reviewed by Laila A. Lico
What is 5/16 as a decimal?
Answer: 5/16 as a decimal is 0.3125
Converting a fraction like 5/16 into a decimal is a common math skill that helps you understand the value of the fraction in terms of base-10 numbers. This process typically involves dividing the numerator (top number) by the denominator (bottom number), which gives you the decimal equivalent.
Methods
Math Tutor Explanation Using the Division Method
This method involves dividing the numerator by the denominator to find the decimal representation of the fraction.
Step 1: Write 5 divided by 16 as 5 ÷ 16
Step 2: Carry out the division: 5 ÷ 16 = 0.3125
Math Tutor Explanation Using Equivalent Fractions with a Power of Ten Denominator
This method rewrites the denominator as a power of ten to easily convert the fraction to a decimal.
Step 1: Recognize that 16 × 625 = 10,000, so multiply both numerator and denominator by 625
Step 2: 5 × 625 = 3125 and 16 × 625 = 10,000, making the equivalent fraction 3125/10,000
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Keep mastering the skill of converting fractions to decimals with these related questions. Practice with similar fractions to become more confident in your conversions.
FAQ on Converting Fractions to Decimals
Why do we convert fractions to decimals?
Decimals make it easier to compare, calculate, and visualize values, especially in measurements and everyday math.
Can all fractions be converted to a finite decimal?
No, only fractions where the denominator’s prime factors are 2 and/or 5 will convert to a terminating decimal.
What if dividing gives a repeating decimal?
Write the repeating part with a bar or ellipsis, such as 1/3 = 0.333... or 0. 0
Is 0.3125 closer to 0 or 1?
0.3125 is closer to 0, since it is less than halfway to 1.
How can I check my decimal conversion?
Multiply your decimal result by the denominator; if you get back the original numerator, your conversion is correct.
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