Which fraction is equivalent to 0.65?

a) 5/13
b) 13/20
c) 19/25
d) 27/35

The answer is B. 13/20

To do this, you may need a caculator if you want to. Then put 13 divided by 20 as a fraction and you’ll get 0.65

Rewrite the decimal number as a fraction with 1 in the denominator
0.65=0.651
0.65
=
0.65
1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 102 = 100
0.651×100100=65100
0.65
1
×
100
100
=
65
100
Find the Greatest Common Factor (GCF) of 65 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,
65÷5100÷5=13/20
65
÷
5
100
÷
5
=
13/20
Therefore
=13/20
X
=
13/20
In conclusion,
0.65=13/20

The answer is B