Question

Write the repeating decimal as a fraction.
0.928

Answer 1

116/125. hope this helps

Answer 2

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.