What is 13/16 as a decimal?

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What is 13/16 as a decimal?

13/16 as a decimal is 0.8125

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Solution

Any fraction can be converted to decimal form by dividing the numerator by the denominator.

The numerator 13 is the divisor and the denominator 16 is the dividend.

13/16 as a decimal

Since 16 > 13, we cannot divide 13 by 16. To continue the division, start by placing a decimal point in the quotient.

Add 0 to 13 to make it 130.

Find the number of times 16 divides 130.

16 divides 130 eight times to give 128.
Subtract 128 from 130 to get a remainder of 2.

Add 0 again to make it 20.
16 divides 20 one time to give 16.
Subtract from 20 to get a remainder of 4.

Add 0 to make it 40.
16 divides 40 two times to give 32.
Subtract 32 from 40 to get the remainder 8.

Add 0 again to make it 80.
16 divides 80 five times completely and leaves a remainder of 0.

Since the remainder is 0, we cannot divide further.

Boost your score What is 13/16 as a decimal? img

$$\frac{\mathbf{13}}{\mathbf{16}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{8125}$$

Remember

Here are some common terms you should be familiar with.

  • In the fraction $$\frac{13}{16}$$, the number 13 is the dividend (our numerator)
  • The number 16 is our divisor (our denominator)

 

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