Converting 77.54 to a Fraction
Step-by-step explanation of how to convert 77.54 to a fraction

Result

77.54 =
3877
50
Mixed number:
77
27
50

Step 1: Identify the number of decimal places

The decimal 77.54 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

77.54 × 100 = 7754

Step 3: Write as a fraction

77.54 =

7754
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7754 and 100.

GCD(7754, 100) = 2

Divide both the numerator and denominator by the GCD:

7754
100

=

7754 ÷ 2
100 ÷ 2

=

3877
50
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