Reviewed by Phoebe Belza-Barrientos
What is 3/16 to decimal?
Answer: 3/16 as a decimal is 0.1875
Converting a fraction to a decimal involves dividing the numerator by the denominator. This process is commonly used in mathematics to represent fractions in a commonly understood base-10 format, making calculations and comparisons easier. Let's explore how to convert 3/16 into its decimal form.
Methods
Math Tutor Explanation Using the Division Method
The most standard approach to convert a fraction like 3/16 to a decimal is to directly divide 3 by 16.
Step 1: Step 1: Place 3 as the dividend (inside the division bracket) and 16 as the divisor (outside the bracket)
Step 2: Step 2: Perform the division 3 ÷ 16 on a calculator or by hand to get the decimal answer
Math Tutor Explanation Using Equivalent Fractions Method
You can also convert the denominator to a power of 10 to make the conversion easier to see.
Step 1: Step 1: Multiply both the numerator and denominator so that the denominator becomes 100 or 1000 (the closest power of 10)
Step 2: Step 2: Since 16 × 625 = 10000, multiply numerator 3 × 625 = 1875, so 3/16 = 1875/10000 = 0.1875
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Conversion Practice
Enhance your skills by converting other fractions to decimals with these related exercises.
FAQ on Fraction to Decimal Conversion
Why do we convert fractions to decimals?
Converting to decimals makes numbers easier to compare, calculate, and understand in everyday contexts.
Can all fractions be exactly converted to decimals?
If the denominator has only 2 and/or 5 as prime factors, the decimal will terminate; otherwise, it will be repeating.
What is a repeating decimal?
A repeating decimal is a decimal in which a digit or group of digits repeats infinitely.
How do I quickly convert fractions like 3/16 without a calculator?
Estimate by knowing fraction benchmarks or multiply numerator and denominator to match a common decimal denominator like 100 or 1000.
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