7/3 + 13/14 as a fraction

Learn how to find what is 7/3 plus 13/14 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 + 13/14 as a fraction and decimal.

Summary: 7/3 plus 13/14 = 137/42
Since both fractions have unequal denominators, 7/3 plus 13/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 13/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (7/3 x 42/42) + (13/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 98/42 and for 13/14 is 39/42. By simplifying this fraction addition 98/42 + 39/42, it becomes 137/42.

CALCULATION: 7/3 + 13/14 as a fraction
7/3 + 13/14 = (?)
7/3 + 13/14 = [(7 x 14) + (13 x 3)]/(3 x 14)
= (98 + 39)/42
= 137/42
7/3 + 13/14 = 137/42
7/3 plus 13/14 as a fraction is 137/42.

where
7/3 is a improper fraction as an addend,
13/14 is a proper fraction as an addend,
137/42 is the sum of 7/3 and 13/14.

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7/3 plus 13/14 as a decimal
7/3 + 13/14 = 137/42
137/42 = 3.2619
(7/3) + (13/14) as a decimal is 3.2619

where
3.2619 is the sum of 7/3 and 13/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/3 and 13/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/3 plus 13/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/3) + (13/14) using LCM Method:
What is 7/3 plus 13/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 13/14

What to be found?
(7/3) + (13/14) = ?
Find what's the sum of 7/3 and 13/14.

step 2 Compare the denominators of fractions 7/3 and 13/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/3 and 13/14 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 7/3 and 13/14:
The LCM of 3 and 14 is 42.

step 4 Write the fractions 7/3 and 13/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 + 13/14
= [(7 x 42)/(3 x 42)] + [(13 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 98/42 + 39/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (98/1 + 39/1)
= 1/42 x (98 + 39)

step 7Simplify the above expression further:
= 1/42 x 137
= 137/42
7/3 + 13/14 = 137/42

Hence,
7/3 plus 13/14 as a fraction is 137/42.

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7/3 + 13/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 13/14

What to be found?
(7/3)+(13/14) = ?
Find what's the sum of 7/3 and 13/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 14), 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 14) and rewrite the equation as like the below:
= (7 x 14) + (13 x 3)/(3 x 14)

step 3 Simplify and rewrite the fraction:
= (98 + 39)/42
7/3 + 13/14 = 137/42

Hence,
7/3 plus 13/14 in fraction is 137/42