13/6 + 4/11 as a fraction

Learn how to find what is 13/6 plus 4/11 in fraction form just in a few minutes. We have covered the easiest method to write 13/6 + 4/11 as a fraction and decimal.

Summary: 13/6 plus 4/11 = 167/66
Since both fractions have unequal denominators, 13/6 plus 4/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/6 and fraction 4/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 11. 66 is the LCM of 6 and 11. Multiplying the LCM 66 with the numerators and denominators of both fractions (13/6 x 66/66) + (4/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 13/6 is 143/66 and for 4/11 is 24/66. By simplifying this fraction addition 143/66 + 24/66, it becomes 167/66.

CALCULATION: 13/6 + 4/11 as a fraction
13/6 + 4/11 = (?)
13/6 + 4/11 = [(13 x 11) + (4 x 6)]/(6 x 11)
= (143 + 24)/66
= 167/66
13/6 + 4/11 = 167/66
13/6 plus 4/11 as a fraction is 167/66.

where
13/6 is a improper fraction as an addend,
4/11 is a proper fraction as an addend,
167/66 is the sum of 13/6 and 4/11.

---

13/6 plus 4/11 as a decimal
13/6 + 4/11 = 167/66
167/66 = 2.5303
(13/6) + (4/11) as a decimal is 2.5303

where
2.5303 is the sum of 13/6 and 4/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/6 and 4/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/6 plus 4/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/6) + (4/11) using LCM Method:
What is 13/6 plus 4/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 4/11

What to be found?
(13/6) + (4/11) = ?
Find what's the sum of 13/6 and 4/11.

step 2 Compare the denominators of fractions 13/6 and 4/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/6 and 4/11 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 13/6 and 4/11:
The LCM of 6 and 11 is 66.

step 4 Write the fractions 13/6 and 4/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/6 + 4/11
= [(13 x 66)/(6 x 66)] + [(4 x 66)/(11 x 66)]

step 5 Simplify the expression to have common denominator:
= 143/66 + 24/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (143/1 + 24/1)
= 1/66 x (143 + 24)

step 7Simplify the above expression further:
= 1/66 x 167
= 167/66
13/6 + 4/11 = 167/66

Hence,
13/6 plus 4/11 as a fraction is 167/66.

---

13/6 + 4/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/6
Fraction B: 4/11

What to be found?
(13/6)+(4/11) = ?
Find what's the sum of 13/6 and 4/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 11), find the product of numerator of Fraction B and denominator of Fraction A (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (13 x 11) + (4 x 6)/(6 x 11)

step 3 Simplify and rewrite the fraction:
= (143 + 24)/66
13/6 + 4/11 = 167/66

Hence,
13/6 plus 4/11 in fraction is 167/66