Converting 10.745 to a Fraction
Step-by-step explanation of how to convert 10.745 to a fraction
Result
10.745 =
2149
200
Mixed number:
10
149
200
Step 1: Identify the number of decimal places
The decimal 10.745 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.745 × 1000 = 10745
Step 3: Write as a fraction
10.745 =
10745
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10745 and 1000.
GCD(10745, 1000) = 5
Divide both the numerator and denominator by the GCD:
10745
1000
=
10745 ÷ 5
1000 ÷ 5
=
2149
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions