Converting 48.1376 to a Fraction
Step-by-step explanation of how to convert 48.1376 to a fraction
Result
48.1376 =
30086
625
Mixed number:
48
86
625
Step 1: Identify the number of decimal places
The decimal 48.1376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
48.1376 × 10000 = 481376
Step 3: Write as a fraction
48.1376 =
481376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 481376 and 10000.
GCD(481376, 10000) = 16
Divide both the numerator and denominator by the GCD:
481376
10000
=
481376 ÷ 16
10000 ÷ 16
=
30086
625
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