Converting 42.0624 to a Fraction
Step-by-step explanation of how to convert 42.0624 to a fraction

Result

42.0624 =
26289
625
Mixed number:
42
39
625

Step 1: Identify the number of decimal places

The decimal 42.0624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

42.0624 × 10000 = 420624

Step 3: Write as a fraction

42.0624 =

420624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 420624 and 10000.

GCD(420624, 10000) = 16

Divide both the numerator and denominator by the GCD:

420624
10000

=

420624 ÷ 16
10000 ÷ 16

=

26289
625
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