Converting 74.4 to a Fraction
Step-by-step explanation of how to convert 74.4 to a fraction

Result

74.4 =
372
5
Mixed number:
74
2
5

Step 1: Identify the number of decimal places

The decimal 74.4 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

74.4 × 10 = 744

Step 3: Write as a fraction

74.4 =

744
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 744 and 10.

GCD(744, 10) = 2

Divide both the numerator and denominator by the GCD:

744
10

=

744 ÷ 2
10 ÷ 2

=

372
5
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