Converting 56.4344 to a Fraction
Step-by-step explanation of how to convert 56.4344 to a fraction
Result
56.4344 =
70543
1250
Mixed number:
56
543
1250
Step 1: Identify the number of decimal places
The decimal 56.4344 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
56.4344 × 10000 = 564344
Step 3: Write as a fraction
56.4344 =
564344
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 564344 and 10000.
GCD(564344, 10000) = 8
Divide both the numerator and denominator by the GCD:
564344
10000
=
564344 ÷ 8
10000 ÷ 8
=
70543
1250
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