Answer: 24/25
Step-by-step explanation:0.96 = 24
25
as a fraction
To convert the decimal 0.96 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.96 = 0.96
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.96
1
= (0.96 × 100)
(1 × 100)
= 96
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(96,100) = 4. So,
(96÷4)
(100÷4)
= 24
25
when reduced to the simplest form.