Converting 77.228 to a Fraction
Step-by-step explanation of how to convert 77.228 to a fraction
Result
77.228 =
19307
250
Mixed number:
77
57
250
Step 1: Identify the number of decimal places
The decimal 77.228 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
77.228 × 1000 = 77228
Step 3: Write as a fraction
77.228 =
77228
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 77228 and 1000.
GCD(77228, 1000) = 4
Divide both the numerator and denominator by the GCD:
77228
1000
=
77228 ÷ 4
1000 ÷ 4
=
19307
250
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