Converting 3.13 to a Fraction
Step-by-step explanation of how to convert 3.13 to a fraction
Result
3.13 =
313
100
Mixed number:
3
13
100
Step 1: Identify the number of decimal places
The decimal 3.13 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
3.13 × 100 = 313
Step 3: Write as a fraction
3.13 =
313
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 313 and 100.
GCD(313, 100) = 1
Divide both the numerator and denominator by the GCD:
313
100
=
313 ÷ 1
100 ÷ 1
=
313
100
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