Converting 48.74912 to a Fraction
Step-by-step explanation of how to convert 48.74912 to a fraction

Result

48.74912 =
152341
3125
Mixed number:
48
2341
3125

Step 1: Identify the number of decimal places

The decimal 48.74912 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

48.74912 × 100000 = 4874912

Step 3: Write as a fraction

48.74912 =

4874912
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4874912 and 100000.

GCD(4874912, 100000) = 32

Divide both the numerator and denominator by the GCD:

4874912
100000

=

4874912 ÷ 32
100000 ÷ 32

=

152341
3125
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