Converting 11.315 to a Fraction
Step-by-step explanation of how to convert 11.315 to a fraction
Result
11.315 =
2263
200
Mixed number:
11
63
200
Step 1: Identify the number of decimal places
The decimal 11.315 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.315 × 1000 = 11315
Step 3: Write as a fraction
11.315 =
11315
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11315 and 1000.
GCD(11315, 1000) = 5
Divide both the numerator and denominator by the GCD:
11315
1000
=
11315 ÷ 5
1000 ÷ 5
=
2263
200
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