Converting 0.45624 to a Fraction
Step-by-step explanation of how to convert 0.45624 to a fraction

Result

0.45624 =
5703
12500

Step 1: Identify the number of decimal places

The decimal 0.45624 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.45624 × 100000 = 45624

Step 3: Write as a fraction

0.45624 =

45624
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45624 and 100000.

GCD(45624, 100000) = 8

Divide both the numerator and denominator by the GCD:

45624
100000

=

45624 ÷ 8
100000 ÷ 8

=

5703
12500
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