13/3 - 14/15 as a fraction

Learn how to find what is 13/3 minus 14/15 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 - 14/15 as a fraction and decimal.

Summary: 13/3 minus 14/15 = 17/5
Since both fractions have unequal denominators, 13/3 minus 14/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 14/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 15. 15 is the LCM of 3 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (13/3 x 15/15) - (14/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 65/15 and for 14/15 is 14/15. By simplifying this fraction subtraction 65/15 - 14/15, it becomes 51/15.

CALCULATION: 13/3 - 14/15 as a fraction
13/3 - 14/15 = (?)
13/3 - 14/15 = [(13 x 15) - (14 x 3)]/(3 x 15)
= (195 - 42)/45
= 153/45
= (9 x 17)/(9 x 5)
= 17/5
13/3 - 14/15 = 17/5
13/3 minus 14/15 as a fraction is 17/5.

where
13/3 is a improper fraction as a minuend,
14/15 is a proper fraction as a subtrahend,
17/5 is the difference between 13/3 and 14/15.

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13/3 minus 14/15 as a decimal
13/3 - 14/15 = 17/5
17/5 = 3.4
(13/3) - (14/15) as a decimal is 3.4

where
3.4 is the difference between 13/3 and 14/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 14/15 from 13/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/3 minus 14/15.
1. LCM method
2. Cross multiplication method.

(13/3) - (14/15) using LCM Method:
What is 13/3 minus 14/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 14/15

What to be found?
(13/3) - (14/15) = ?
Find what's the difference between 13/3 and 14/15.

step 2 Compare the denominators of fractions 13/3 and 14/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/3 and 14/15 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 13/3 and 14/15:
The LCM of 3 and 15 is 15.

step 4 Write the fractions 13/3 and 14/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 - 14/15
= [(13 x 15)/(3 x 15)] - [(14 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 65/15 - 14/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (65/1 - 14/1)
= 1/15 x (65 - 14)

step 7Simplify the above expression further:
= 1/15 x 51
= 51/15
= 17/5
13/3 - 14/15 = 17/5

Hence,
13/3 minus 14/15 as a fraction is 17/5.

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13/3 - 14/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 14/15

What to be found?
(13/3)-(14/15) = ?
Find what's the difference between 13/3 and 14/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 15), find the product of numerator of Fraction B and denominator of Fraction A (14 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 15) and rewrite the equation as like the below:
= (13 x 15) - (14 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (195 - 42)/45
= 153/45
= 17/5
13/3 - 14/15 = 17/5

Hence,
13/3 minus 14/15 in fraction is 17/5