Converting 10.705 to a Fraction
Step-by-step explanation of how to convert 10.705 to a fraction
Result
10.705 =
2141
200
Mixed number:
10
141
200
Step 1: Identify the number of decimal places
The decimal 10.705 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.705 × 1000 = 10705
Step 3: Write as a fraction
10.705 =
10705
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10705 and 1000.
GCD(10705, 1000) = 5
Divide both the numerator and denominator by the GCD:
10705
1000
=
10705 ÷ 5
1000 ÷ 5
=
2141
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions