Decimal
What is 7/16 as a decimal?
7/16 as a decimal is 0.4375
Fill in the missing parts in the long division below and complete the answer.
$$\frac7?=0.4_7_$$
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 x 3 = 48. Hence the first blank in the quotient is 3.- In the third step, we can see that 16 divides 120 seven times. Hence16 x 7 = 112- The last blank in the quotient is the number of times 16 exactly divides 80.16 x 5 = 80
Find below the correct long division with the answers.
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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