What is 7/16 as a decimal?

7/16 as a decimal is 0.4375

Want to practice?

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. Hence
  16 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). 

Find More Fractions to Decimals

We invite you to read on our blog, about what is 5 /16 as a decimal fraction.