Converting 11.78125 to a Fraction
Step-by-step explanation of how to convert 11.78125 to a fraction
Result
11.78125 =
377
32
Mixed number:
11
25
32
Step 1: Identify the number of decimal places
The decimal 11.78125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.78125 × 100000 = 1178125
Step 3: Write as a fraction
11.78125 =
1178125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1178125 and 100000.
GCD(1178125, 100000) = 3125
Divide both the numerator and denominator by the GCD:
1178125
100000
=
1178125 ÷ 3125
100000 ÷ 3125
=
377
32
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