Converting 48.675 to a Fraction
Step-by-step explanation of how to convert 48.675 to a fraction

Result

48.675 =
1947
40
Mixed number:
48
27
40

Step 1: Identify the number of decimal places

The decimal 48.675 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

48.675 × 1000 = 48675

Step 3: Write as a fraction

48.675 =

48675
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48675 and 1000.

GCD(48675, 1000) = 25

Divide both the numerator and denominator by the GCD:

48675
1000

=

48675 ÷ 25
1000 ÷ 25

=

1947
40
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