What is 7/16 as a decimal?

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What is 7/16 as a decimal?

7/16 as a decimal is 0.4375

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Fill in the missing parts in the long division below and complete the answer.

what_is_7_16_as_a_decimal_5

$$\frac7?=0.4\_7\_$$

Solution

  • As we can see that the quotient starts with 0…., we can say that the divisor is greater than the dividend. Hence 0 is added at each step to make the value divisible by the divisor.
  • Start by finding the divisor. As we have the first digit of the quotient and the product 64, we can conclude that 16 x 4=64. Hence the divisor is 16.
  • The blank in the second step is the difference between 70 and 64.
    70-64=6.
  • Find the blank in the quotient by finding the number of times 60 is divisible by 16. 16×3=48. Hence the first blank in the quotient is 3.
  • In the third step, we can see that 16 divides 120 seven times. Hence
    16×7=112.
  • The last blank in the quotient is the number of times 16 exactly divides 80.
    16×5=80.

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Find below the correct long division with the answers.

7 over 16 as a decimal

The long division method includes the conversion of a fraction into a decimal by division. The numerator of the fraction is the dividend and the denominator of the fraction is the divisor.

$$\frac{\mathbf7}{\mathbf{16}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{4375}$$

 

Remember

Here are some common terms you should be familiar with.

  • In the fraction $$\frac{7}{16}$$, the number 7 is the dividend (our numerator)
  • The number 16 is our divisor (our denominator)

 

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