Converting 10.7138 to a Fraction
Step-by-step explanation of how to convert 10.7138 to a fraction
Result
10.7138 =
53569
5000
Mixed number:
10
3569
5000
Step 1: Identify the number of decimal places
The decimal 10.7138 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.7138 × 10000 = 107138
Step 3: Write as a fraction
10.7138 =
107138
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 107138 and 10000.
GCD(107138, 10000) = 2
Divide both the numerator and denominator by the GCD:
107138
10000
=
107138 ÷ 2
10000 ÷ 2
=
53569
5000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions