7/6 + 1/13 as a fraction

Learn how to find what is 7/6 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 1/13 as a fraction and decimal.

Summary: 7/6 plus 1/13 = 97/78
Since both fractions have unequal denominators, 7/6 plus 1/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 1/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 13. 78 is the LCM of 6 and 13. Multiplying the LCM 78 with the numerators and denominators of both fractions (7/6 x 78/78) + (1/13 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 91/78 and for 1/13 is 6/78. By simplifying this fraction addition 91/78 + 6/78, it becomes 97/78.

CALCULATION: 7/6 + 1/13 as a fraction
7/6 + 1/13 = (?)
7/6 + 1/13 = [(7 x 13) + (1 x 6)]/(6 x 13)
= (91 + 6)/78
= 97/78
7/6 + 1/13 = 97/78
7/6 plus 1/13 as a fraction is 97/78.

where
7/6 is a improper fraction as an addend,
1/13 is a proper fraction as an addend,
97/78 is the sum of 7/6 and 1/13.

---

7/6 plus 1/13 as a decimal
7/6 + 1/13 = 97/78
97/78 = 1.2436
(7/6) + (1/13) as a decimal is 1.2436

where
1.2436 is the sum of 7/6 and 1/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 1/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 1/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/6) + (1/13) using LCM Method:
What is 7/6 plus 1/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 1/13

What to be found?
(7/6) + (1/13) = ?
Find what's the sum of 7/6 and 1/13.

step 2 Compare the denominators of fractions 7/6 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 1/13 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 7/6 and 1/13:
The LCM of 6 and 13 is 78.

step 4 Write the fractions 7/6 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 1/13
= [(7 x 78)/(6 x 78)] + [(1 x 78)/(13 x 78)]

step 5 Simplify the expression to have common denominator:
= 91/78 + 6/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (91/1 + 6/1)
= 1/78 x (91 + 6)

step 7Simplify the above expression further:
= 1/78 x 97
= 97/78
7/6 + 1/13 = 97/78

Hence,
7/6 plus 1/13 as a fraction is 97/78.

---

7/6 + 1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 1/13

What to be found?
(7/6)+(1/13) = ?
Find what's the sum of 7/6 and 1/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 13), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 13) and rewrite the equation as like the below:
= (7 x 13) + (1 x 6)/(6 x 13)

step 3 Simplify and rewrite the fraction:
= (91 + 6)/78
7/6 + 1/13 = 97/78

Hence,
7/6 plus 1/13 in fraction is 97/78