Converting 1.1408 to a Fraction
Step-by-step explanation of how to convert 1.1408 to a fraction

Result

1.1408 =
713
625
Mixed number:
1
88
625

Step 1: Identify the number of decimal places

The decimal 1.1408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.1408 × 10000 = 11408

Step 3: Write as a fraction

1.1408 =

11408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11408 and 10000.

GCD(11408, 10000) = 16

Divide both the numerator and denominator by the GCD:

11408
10000

=

11408 ÷ 16
10000 ÷ 16

=

713
625
Related Conversions
Other decimal to fraction conversions you might find useful