Converting 13.375 to a Fraction
Step-by-step explanation of how to convert 13.375 to a fraction
Result
13.375 =
107
8
Mixed number:
13
3
8
Step 1: Identify the number of decimal places
The decimal 13.375 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
13.375 × 1000 = 13375
Step 3: Write as a fraction
13.375 =
13375
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13375 and 1000.
GCD(13375, 1000) = 125
Divide both the numerator and denominator by the GCD:
13375
1000
=
13375 ÷ 125
1000 ÷ 125
=
107
8
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