Converting 10.49744 to a Fraction
Step-by-step explanation of how to convert 10.49744 to a fraction
Result
10.49744 =
65609
6250
Mixed number:
10
3109
6250
Step 1: Identify the number of decimal places
The decimal 10.49744 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.49744 × 100000 = 1049744
Step 3: Write as a fraction
10.49744 =
1049744
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1049744 and 100000.
GCD(1049744, 100000) = 16
Divide both the numerator and denominator by the GCD:
1049744
100000
=
1049744 ÷ 16
100000 ÷ 16
=
65609
6250
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