Reviewed by Camille Ira B. Mendoza
What is 7/16 as a decimal?
Answer: 7/16 as a decimal is 0.4375
Converting fractions to decimals is a basic math skill that allows us to express rational numbers in an alternative numerical format. Understanding how to change 7/16 into a decimal helps with calculations, comparisons, and real-life applications where decimals are commonly used.
Methods
Math Tutor Explanation Using the Division Method
The division method involves dividing the numerator by the denominator to convert a fraction into its decimal form.
Step 1: Step 1: Divide the numerator (7) by the denominator (16)
Step 2: Step 2: Perform long division or use a calculator to complete the calculation
Math Tutor Explanation Using Equivalent Fractions with Powers of 10
This method involves converting the fraction so that the denominator is a power of ten and then expressing the result as a decimal.
Step 1: Step 1: Multiply both numerator and denominator by 625 to make the denominator 10000 (since 16 × 625 = 10000)
Step 2: Step 2: Calculate 7 × 625 = 4375, so the fraction becomes 4375/10000
Step 1:
Step 2:
Math Tutor suggests: More Fraction to Decimal Practice
Strengthen your understanding of converting fractions to decimals by exploring these related questions.
FAQ on Fraction to Decimal Conversion
How do I convert any fraction to a decimal?
Divide the numerator by the denominator using long division or a calculator.
Is 7/16 a terminating or repeating decimal?
7/16 as a decimal is terminating, as it ends at 0.4375.
Can all fractions be written as decimals?
Yes, all fractions can be written as decimals, but some decimals repeat indefinitely.
Why is converting to a decimal useful?
Decimals are easier to use in calculations and practical measurements like money and length.
What is the decimal for 7 divided by 16 rounded to two decimal places?
Rounded to two decimal places, 7/16 is 0.44.
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