14/3 + 13/15 as a fraction

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

Summary: 14/3 plus 13/15 = 83/15
Since both fractions have unequal denominators, 14/3 plus 13/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/3 and fraction 13/15 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 (14/3 x 15/15) + (13/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 14/3 is 70/15 and for 13/15 is 13/15. By simplifying this fraction addition 70/15 + 13/15, it becomes 83/15.

CALCULATION: 14/3 + 13/15 as a fraction
14/3 + 13/15 = (?)
14/3 + 13/15 = [(14 x 15) + (13 x 3)]/(3 x 15)
= (210 + 39)/45
= 249/45
= (3 x 83)/(3 x 15)
= 83/15
14/3 + 13/15 = 83/15
14/3 plus 13/15 as a fraction is 83/15.

where
14/3 is a improper fraction as an addend,
13/15 is a proper fraction as an addend,
83/15 is the sum of 14/3 and 13/15.

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14/3 plus 13/15 as a decimal
14/3 + 13/15 = 83/15
83/15 = 5.5333
(14/3) + (13/15) as a decimal is 5.5333

where
5.5333 is the sum of 14/3 and 13/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/3 and 13/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/3 plus 13/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

What to be found?
(14/3) + (13/15) = ?
Find what's the sum of 14/3 and 13/15.

step 2 Compare the denominators of fractions 14/3 and 13/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/3 and 13/15 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 14/3 and 13/15:
The LCM of 3 and 15 is 15.

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

step 5 Simplify the expression to have common denominator:
= 70/15 + 13/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (70/1 + 13/1)
= 1/15 x (70 + 13)

step 7Simplify the above expression further:
= 1/15 x 83
= 83/15
14/3 + 13/15 = 83/15

Hence,
14/3 plus 13/15 as a fraction is 83/15.

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

What to be found?
(14/3)+(13/15) = ?
Find what's the sum of 14/3 and 13/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 15), find the product of numerator of Fraction B and denominator of Fraction A (13 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:
= (14 x 15) + (13 x 3)/(3 x 15)

step 3 Simplify and rewrite the fraction:
= (210 + 39)/45
= 249/45
= 83/15
14/3 + 13/15 = 83/15

Hence,
14/3 plus 13/15 in fraction is 83/15