Converting 77.5 to a Fraction
Step-by-step explanation of how to convert 77.5 to a fraction
Result
77.5 =
155
2
Mixed number:
77
1
2
Step 1: Identify the number of decimal places
The decimal 77.5 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
77.5 × 10 = 775
Step 3: Write as a fraction
77.5 =
775
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 775 and 10.
GCD(775, 10) = 5
Divide both the numerator and denominator by the GCD:
775
10
=
775 ÷ 5
10 ÷ 5
=
155
2
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