Converting 10.9736 to a Fraction
Step-by-step explanation of how to convert 10.9736 to a fraction
Result
10.9736 =
13717
1250
Mixed number:
10
1217
1250
Step 1: Identify the number of decimal places
The decimal 10.9736 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.9736 × 10000 = 109736
Step 3: Write as a fraction
10.9736 =
109736
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 109736 and 10000.
GCD(109736, 10000) = 8
Divide both the numerator and denominator by the GCD:
109736
10000
=
109736 ÷ 8
10000 ÷ 8
=
13717
1250
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