Converting 48.76256 to a Fraction
Step-by-step explanation of how to convert 48.76256 to a fraction
Result
48.76256 =
152383
3125
Mixed number:
48
2383
3125
Step 1: Identify the number of decimal places
The decimal 48.76256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
48.76256 × 100000 = 4876256
Step 3: Write as a fraction
48.76256 =
4876256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4876256 and 100000.
GCD(4876256, 100000) = 32
Divide both the numerator and denominator by the GCD:
4876256
100000
=
4876256 ÷ 32
100000 ÷ 32
=
152383
3125
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