Converting 49.7376 to a Fraction
Step-by-step explanation of how to convert 49.7376 to a fraction
Result
49.7376 =
31086
625
Mixed number:
49
461
625
Step 1: Identify the number of decimal places
The decimal 49.7376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
49.7376 × 10000 = 497376
Step 3: Write as a fraction
49.7376 =
497376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 497376 and 10000.
GCD(497376, 10000) = 16
Divide both the numerator and denominator by the GCD:
497376
10000
=
497376 ÷ 16
10000 ÷ 16
=
31086
625
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