Converting 0.072 to a Fraction
Step-by-step explanation of how to convert 0.072 to a fraction

Result

0.072 =
9
125

Step 1: Identify the number of decimal places

The decimal 0.072 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.072 × 1000 = 72

Step 3: Write as a fraction

0.072 =

72
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 72 and 1000.

GCD(72, 1000) = 8

Divide both the numerator and denominator by the GCD:

72
1000

=

72 ÷ 8
1000 ÷ 8

=

9
125
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