Converting 74.12 to a Fraction
Step-by-step explanation of how to convert 74.12 to a fraction

Result

74.12 =
1853
25
Mixed number:
74
3
25

Step 1: Identify the number of decimal places

The decimal 74.12 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

74.12 × 100 = 7412

Step 3: Write as a fraction

74.12 =

7412
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7412 and 100.

GCD(7412, 100) = 4

Divide both the numerator and denominator by the GCD:

7412
100

=

7412 ÷ 4
100 ÷ 4

=

1853
25
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