Converting 0.7456 to a Fraction
Step-by-step explanation of how to convert 0.7456 to a fraction

Result

0.7456 =
466
625

Step 1: Identify the number of decimal places

The decimal 0.7456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7456 × 10000 = 7456

Step 3: Write as a fraction

0.7456 =

7456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7456 and 10000.

GCD(7456, 10000) = 16

Divide both the numerator and denominator by the GCD:

7456
10000

=

7456 ÷ 16
10000 ÷ 16

=

466
625
Related Conversions
Other decimal to fraction conversions you might find useful