Converting 27.8264 to a Fraction
Step-by-step explanation of how to convert 27.8264 to a fraction
Result
27.8264 =
34783
1250
Mixed number:
27
1033
1250
Step 1: Identify the number of decimal places
The decimal 27.8264 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.8264 × 10000 = 278264
Step 3: Write as a fraction
27.8264 =
278264
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278264 and 10000.
GCD(278264, 10000) = 8
Divide both the numerator and denominator by the GCD:
278264
10000
=
278264 ÷ 8
10000 ÷ 8
=
34783
1250
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