12/5 - 14/13 as a fraction

Learn how to find what is 12/5 minus 14/13 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 - 14/13 as a fraction and decimal.

Summary: 12/5 minus 14/13 = 86/65
Since both fractions have unequal denominators, 12/5 minus 14/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 14/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (12/5 x 65/65) - (14/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 156/65 and for 14/13 is 70/65. By simplifying this fraction subtraction 156/65 - 70/65, it becomes 86/65.

CALCULATION: 12/5 - 14/13 as a fraction
12/5 - 14/13 = (?)
12/5 - 14/13 = [(12 x 13) - (14 x 5)]/(5 x 13)
= (156 - 70)/65
= 86/65
12/5 - 14/13 = 86/65
12/5 minus 14/13 as a fraction is 86/65.

where
12/5 is a improper fraction as a minuend,
14/13 is a improper fraction as a subtrahend,
86/65 is the difference between 12/5 and 14/13.

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12/5 minus 14/13 as a decimal
12/5 - 14/13 = 86/65
86/65 = 1.3231
(12/5) - (14/13) as a decimal is 1.3231

where
1.3231 is the difference between 12/5 and 14/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 14/13 from 12/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 12/5 minus 14/13.
1. LCM method
2. Cross multiplication method.

(12/5) - (14/13) using LCM Method:
What is 12/5 minus 14/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 14/13

What to be found?
(12/5) - (14/13) = ?
Find what's the difference between 12/5 and 14/13.

step 2 Compare the denominators of fractions 12/5 and 14/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/5 and 14/13 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 12/5 and 14/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 12/5 and 14/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 - 14/13
= [(12 x 65)/(5 x 65)] - [(14 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 156/65 - 70/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (156/1 - 70/1)
= 1/65 x (156 - 70)

step 7Simplify the above expression further:
= 1/65 x 86
= 86/65
12/5 - 14/13 = 86/65

Hence,
12/5 minus 14/13 as a fraction is 86/65.

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12/5 - 14/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 14/13

What to be found?
(12/5)-(14/13) = ?
Find what's the difference between 12/5 and 14/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 13), find the product of numerator of Fraction B and denominator of Fraction A (14 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 13) and rewrite the equation as like the below:
= (12 x 13) - (14 x 5)/(5 x 13)

step 3 Simplify and rewrite the fraction:
= (156 - 70)/65
12/5 - 14/13 = 86/65

Hence,
12/5 minus 14/13 in fraction is 86/65