Converting 0.7156 to a Fraction
Step-by-step explanation of how to convert 0.7156 to a fraction

Result

0.7156 =
1789
2500

Step 1: Identify the number of decimal places

The decimal 0.7156 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7156 × 10000 = 7156

Step 3: Write as a fraction

0.7156 =

7156
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7156 and 10000.

GCD(7156, 10000) = 4

Divide both the numerator and denominator by the GCD:

7156
10000

=

7156 ÷ 4
10000 ÷ 4

=

1789
2500
Related Conversions
Other decimal to fraction conversions you might find useful