Converting 49.2312 to a Fraction
Step-by-step explanation of how to convert 49.2312 to a fraction
Result
49.2312 =
61539
1250
Mixed number:
49
289
1250
Step 1: Identify the number of decimal places
The decimal 49.2312 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
49.2312 × 10000 = 492312
Step 3: Write as a fraction
49.2312 =
492312
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 492312 and 10000.
GCD(492312, 10000) = 8
Divide both the numerator and denominator by the GCD:
492312
10000
=
492312 ÷ 8
10000 ÷ 8
=
61539
1250
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