Converting 49.879872 to a Fraction
Step-by-step explanation of how to convert 49.879872 to a fraction
Result
49.879872 =
779373
15625
Mixed number:
49
13748
15625
Step 1: Identify the number of decimal places
The decimal 49.879872 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
49.879872 × 1000000 = 49879872
Step 3: Write as a fraction
49.879872 =
49879872
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49879872 and 1000000.
GCD(49879872, 1000000) = 64
Divide both the numerator and denominator by the GCD:
49879872
1000000
=
49879872 ÷ 64
1000000 ÷ 64
=
779373
15625
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