Decimal

What is 5/8 as a decimal?

5/8 as a decimal is 0.625

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Solution

  • Observe that the fraction is converted to its decimal form on the other side.- The number on the top of the fraction is called the numerator and the number at the bottom is the denominator.- Divide the numerator by the denominator using the long division method.

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Steps for division

  • Write the numerator 5 as the dividend and the denominator 8 as the divisor.- Since 8 > 5, place a decimal point in the quotient and add 0 to make it 50.- 8 divides 50 six times to give 48.- Subtract 48 from 50 to get the remainder 2.- As we have already added the decimal point, we can add 0 to 2 to make it 20.- 8 divides 20 two times to give 16.- Subtract 16 from 20 to get the remainder 4.- Add 0 again to make it 40.- 8 divides 40 five times to give 40.- Subtract 40 from 40 to get the remainder 0.

Hence the solution is 0.625.

Remember

Here are some common terms you should be familiar with.

  • In the fraction $$\frac58$$, the number 5 is the dividend (our numerator)
  • The number 8 is our divisor (our denominator).

Find More Fractions to Decimals

1/1 = 11/8 = 0.1253/4 = 0.757/9 = 0.7
11/16 = 0.68758/9 = 0.87/8 = 0.8754/5 = 0.8
1/2 = 0.51/9 = 0.12/5 = 0.43/10 = 0.3
15/32 = 0.46877/10 = 0.75/9 = 0.54/7 = 0.571
1/3 = 0.31/10 = 0.15/6 = 0.832/11 = 0.18
3/5 = 0.63/11 = 0.279/10 = 0.91/4 = 0.25
1/11 = 0.092/7 = 0.285715/11 = 0.453/7 = 0.428571
6/11 = 0.544/11 = 0.361/5 = 0.21/12 = 0.083
5/7 = 0.714288/11 = 0.726/7 = 0.857147/12 = 0.583
7/16 = 0.43751/6 = 0.161/16 = 0.06253/8 = 0.375
5/12 = 0.4165/8 = 0.6255/16 = 0.312515/16 = 0.9375
1/7 = 0.1428572/3 = 0.62/9 = 0.23/16 = 0.1875
4/9 = 0.413/16 = 0.812519/32 = 0.5937

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