Converting 74.82 to a Fraction
Step-by-step explanation of how to convert 74.82 to a fraction

Result

74.82 =
3741
50
Mixed number:
74
41
50

Step 1: Identify the number of decimal places

The decimal 74.82 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

74.82 × 100 = 7482

Step 3: Write as a fraction

74.82 =

7482
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7482 and 100.

GCD(7482, 100) = 2

Divide both the numerator and denominator by the GCD:

7482
100

=

7482 ÷ 2
100 ÷ 2

=

3741
50
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