Reviewed by Franz Jerby Delos Santos
What is 15/16 as a decimal?
Answer: 15/16 as a decimal is 0.9375
The process of converting a fraction like 15/16 into its decimal form involves dividing the numerator by the denominator. This is a fundamental skill in mathematics that helps you easily compare numbers and perform calculations in different formats.
Methods
Math Tutor Explanation Using the Division Method
The most direct way to convert 15/16 to a decimal is to divide the numerator (15) by the denominator (16).
Step 1: Set up the division of 15 divided by 16
Step 2: Perform the division using long division or a calculator
Math Tutor Explanation Using the Fraction to Tenths/Thousandths Method
Another way is to convert the denominator to a power of 10 (like 10000, since 16×625=10000), and then rewrite the fraction in a decimal form.
Step 1: Multiply both numerator and denominator by 625 to achieve a denominator of 10000
Step 2: Calculate 15×625 = 9375, so the fraction becomes 9375/10000
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Conversions
Keep practicing fraction-to-decimal conversions with these similar exercises, perfect for strengthening your skills.
FAQ on Converting Fractions to Decimals
How do you convert a fraction to a decimal?
You divide the numerator by the denominator using a calculator or long division.
Can all fractions be written as decimals?
Yes, all fractions can be expressed as decimals, though some may be repeating or terminating decimals.
Is 0.9375 a terminating or repeating decimal?
0.9375 is a terminating decimal because it has a finite number of digits.
Why is converting fractions to decimals useful?
Decimals are often easier to compare, add, subtract, multiply, and divide in calculations.
What is the shortcut for converting fractions like 1/16 to a decimal?
Calculate 1 divided by 16, which equals 0.0625, then multiply that by the numerator as needed.
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