Question

Can you write the following decimals as fractions?

(i) 0.7

(ii) 0.27

(iii) 0.90

(iv) 0.900

(v) 0.09

(vi) 0.009

(vii) 1.23

(viii) 2.731

(ix) 2.30

(x) 3.05

(xi) 7.003

Answer 1

(i) Since there is only one digit after the decimal, the denominator of the equivalent fraction will be 10.

Therefore, 0.7 can be written in fraction as

(ii) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 0.27 can be written in fraction as

(iii) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 0.90 can be written in fraction as

Note: It can also be written as

(iv) Since there are three digits after the decimal, the denominator of the equivalent fraction will be 1000.

Therefore, 0.900 can be written in fraction as

Note: It can also be written as

(v) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 0.09 can be written in fraction as

(vi) Since there are three digits after the decimal, the denominator of the equivalent fraction will be 1000.

Therefore, 0.009 can be written in fraction as

(vii) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 1.23 can be written in fraction as

(viii) Since there are three digits after the decimal, the denominator of the equivalent fraction will be 1000.

Therefore, 2.731 can be written in fraction as

(ix) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 2.30 can be written in fraction as

Note: It can also be written as

(x) Since there are two digits after the decimal, the denominator of the equivalent fraction will be 100.

Therefore, 3.05 can be written in fraction as

(xi) Since there are three digits after the decimal, the denominator of the equivalent fraction will be 1000.

Therefore, 7.003 can be written in fraction as