Converting 10.7288 to a Fraction
Step-by-step explanation of how to convert 10.7288 to a fraction

Result

10.7288 =
13411
1250
Mixed number:
10
911
1250

Step 1: Identify the number of decimal places

The decimal 10.7288 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.7288 × 10000 = 107288

Step 3: Write as a fraction

10.7288 =

107288
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 107288 and 10000.

GCD(107288, 10000) = 8

Divide both the numerator and denominator by the GCD:

107288
10000

=

107288 ÷ 8
10000 ÷ 8

=

13411
1250
Related Conversions
Other decimal to fraction conversions you might find useful