Converting 49.924 to a Fraction
Step-by-step explanation of how to convert 49.924 to a fraction
Result
49.924 =
12481
250
Mixed number:
49
231
250
Step 1: Identify the number of decimal places
The decimal 49.924 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
49.924 × 1000 = 49924
Step 3: Write as a fraction
49.924 =
49924
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 49924 and 1000.
GCD(49924, 1000) = 4
Divide both the numerator and denominator by the GCD:
49924
1000
=
49924 ÷ 4
1000 ÷ 4
=
12481
250
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