Converting 10.23744 to a Fraction
Step-by-step explanation of how to convert 10.23744 to a fraction
Result
10.23744 =
31992
3125
Mixed number:
10
742
3125
Step 1: Identify the number of decimal places
The decimal 10.23744 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.23744 × 100000 = 1023744
Step 3: Write as a fraction
10.23744 =
1023744
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1023744 and 100000.
GCD(1023744, 100000) = 32
Divide both the numerator and denominator by the GCD:
1023744
100000
=
1023744 ÷ 32
100000 ÷ 32
=
31992
3125
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