1/6 + 1/11 as a fraction

Learn how to find what is 1/6 plus 1/11 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 1/11 as a fraction and decimal.

Summary: 1/6 plus 1/11 = 17/66
Since both fractions have unequal denominators, 1/6 plus 1/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 1/11 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 (1/6 x 66/66) + (1/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 11/66 and for 1/11 is 6/66. By simplifying this fraction addition 11/66 + 6/66, it becomes 17/66.

Pie Chart Representation: 1/6 + 1/11 = 17/66

CALCULATION: 1/6 + 1/11 as a fraction
1/6 + 1/11 = (?)
1/6 + 1/11 = [(1 x 11) + (1 x 6)]/(6 x 11)
= (11 + 6)/66
= 17/66
1/6 + 1/11 = 17/66
1/6 plus 1/11 as a fraction is 17/66.

where
1/6 is a proper fraction as an addend,
1/11 is a proper fraction as an addend,
17/66 is the sum of 1/6 and 1/11.

---

1/6 plus 1/11 as a decimal
1/6 + 1/11 = 17/66
17/66 = 0.2576
(1/6) + (1/11) as a decimal is 0.2576

where
0.2576 is the sum of 1/6 and 1/11.

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

(1/6) + (1/11) using LCM Method:
What is 1/6 plus 1/11 as a fraction?

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

What to be found?
(1/6) + (1/11) = ?
Find what's the sum of 1/6 and 1/11.

step 2 Compare the denominators of fractions 1/6 and 1/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 1/11 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 1/6 and 1/11:
The LCM of 6 and 11 is 66.

step 4 Write the fractions 1/6 and 1/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 1/11
= [(1 x 66)/(6 x 66)] + [(1 x 66)/(11 x 66)]

step 5 Simplify the expression to have common denominator:
= 11/66 + 6/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (11/1 + 6/1)
= 1/66 x (11 + 6)

step 7Simplify the above expression further:
= 1/66 x 17
= 17/66
1/6 + 1/11 = 17/66

Hence,
1/6 plus 1/11 as a fraction is 17/66.

---

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

What to be found?
(1/6)+(1/11) = ?
Find what's the sum of 1/6 and 1/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 11), 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 11) and rewrite the equation as like the below:
= (1 x 11) + (1 x 6)/(6 x 11)

step 3 Simplify and rewrite the fraction:
= (11 + 6)/66
1/6 + 1/11 = 17/66

Hence,
1/6 plus 1/11 in fraction is 17/66