Converting 0.7424 to a Fraction
Step-by-step explanation of how to convert 0.7424 to a fraction

Result

0.7424 =
464
625

Step 1: Identify the number of decimal places

The decimal 0.7424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7424 × 10000 = 7424

Step 3: Write as a fraction

0.7424 =

7424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7424 and 10000.

GCD(7424, 10000) = 16

Divide both the numerator and denominator by the GCD:

7424
10000

=

7424 ÷ 16
10000 ÷ 16

=

464
625
Related Conversions
Other decimal to fraction conversions you might find useful