Converting 11.78496 to a Fraction
Step-by-step explanation of how to convert 11.78496 to a fraction
Result
11.78496 =
36828
3125
Mixed number:
11
2453
3125
Step 1: Identify the number of decimal places
The decimal 11.78496 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.78496 × 100000 = 1178496
Step 3: Write as a fraction
11.78496 =
1178496
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1178496 and 100000.
GCD(1178496, 100000) = 32
Divide both the numerator and denominator by the GCD:
1178496
100000
=
1178496 ÷ 32
100000 ÷ 32
=
36828
3125
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