Converting 1.175 to a Fraction
Step-by-step explanation of how to convert 1.175 to a fraction
Result
1.175 =
47
40
Mixed number:
1
7
40
Step 1: Identify the number of decimal places
The decimal 1.175 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.175 × 1000 = 1175
Step 3: Write as a fraction
1.175 =
1175
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1175 and 1000.
GCD(1175, 1000) = 25
Divide both the numerator and denominator by the GCD:
1175
1000
=
1175 ÷ 25
1000 ÷ 25
=
47
40
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions