To convert the decimal 0.928 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.928 = 0.928
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
0.928
1
= (0.928 × 1000)
(1 × 1000)
= 928
1000
.
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(928,1000) = 8. So,
(928÷8)
(1000÷8)
= 116
125
when reduced to the simplest form.