Converting 49.7256 to a Fraction
Step-by-step explanation of how to convert 49.7256 to a fraction
Result
49.7256 =
62157
1250
Mixed number:
49
907
1250
Step 1: Identify the number of decimal places
The decimal 49.7256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
49.7256 × 10000 = 497256
Step 3: Write as a fraction
49.7256 =
497256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 497256 and 10000.
GCD(497256, 10000) = 8
Divide both the numerator and denominator by the GCD:
497256
10000
=
497256 ÷ 8
10000 ÷ 8
=
62157
1250
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