Converting 0.72375 to a Fraction
Step-by-step explanation of how to convert 0.72375 to a fraction

Result

0.72375 =
579
800

Step 1: Identify the number of decimal places

The decimal 0.72375 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.72375 × 100000 = 72375

Step 3: Write as a fraction

0.72375 =

72375
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 72375 and 100000.

GCD(72375, 100000) = 125

Divide both the numerator and denominator by the GCD:

72375
100000

=

72375 ÷ 125
100000 ÷ 125

=

579
800
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