Converting 7.1456 to a Fraction
Step-by-step explanation of how to convert 7.1456 to a fraction

Result

7.1456 =
4466
625
Mixed number:
7
91
625

Step 1: Identify the number of decimal places

The decimal 7.1456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.1456 × 10000 = 71456

Step 3: Write as a fraction

7.1456 =

71456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 71456 and 10000.

GCD(71456, 10000) = 16

Divide both the numerator and denominator by the GCD:

71456
10000

=

71456 ÷ 16
10000 ÷ 16

=

4466
625
Related Conversions
Other decimal to fraction conversions you might find useful