Converting 10.736 to a Fraction
Step-by-step explanation of how to convert 10.736 to a fraction

Result

10.736 =
1342
125
Mixed number:
10
92
125

Step 1: Identify the number of decimal places

The decimal 10.736 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.736 × 1000 = 10736

Step 3: Write as a fraction

10.736 =

10736
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10736 and 1000.

GCD(10736, 1000) = 8

Divide both the numerator and denominator by the GCD:

10736
1000

=

10736 ÷ 8
1000 ÷ 8

=

1342
125
Related Conversions
Other decimal to fraction conversions you might find useful