Converting 48.625 to a Fraction
Step-by-step explanation of how to convert 48.625 to a fraction

Result

48.625 =
389
8
Mixed number:
48
5
8

Step 1: Identify the number of decimal places

The decimal 48.625 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

48.625 × 1000 = 48625

Step 3: Write as a fraction

48.625 =

48625
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48625 and 1000.

GCD(48625, 1000) = 125

Divide both the numerator and denominator by the GCD:

48625
1000

=

48625 ÷ 125
1000 ÷ 125

=

389
8
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