7/6 + 3/11 as a fraction

Learn how to find what is 7/6 plus 3/11 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 3/11 as a fraction and decimal.

Summary: 7/6 plus 3/11 = 95/66
Since both fractions have unequal denominators, 7/6 plus 3/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 3/11 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 (7/6 x 66/66) + (3/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 77/66 and for 3/11 is 18/66. By simplifying this fraction addition 77/66 + 18/66, it becomes 95/66.

CALCULATION: 7/6 + 3/11 as a fraction
7/6 + 3/11 = (?)
7/6 + 3/11 = [(7 x 11) + (3 x 6)]/(6 x 11)
= (77 + 18)/66
= 95/66
7/6 + 3/11 = 95/66
7/6 plus 3/11 as a fraction is 95/66.

where
7/6 is a improper fraction as an addend,
3/11 is a proper fraction as an addend,
95/66 is the sum of 7/6 and 3/11.

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7/6 plus 3/11 as a decimal
7/6 + 3/11 = 95/66
95/66 = 1.4394
(7/6) + (3/11) as a decimal is 1.4394

where
1.4394 is the sum of 7/6 and 3/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 3/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 3/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/6) + (3/11) using LCM Method:
What is 7/6 plus 3/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 3/11

What to be found?
(7/6) + (3/11) = ?
Find what's the sum of 7/6 and 3/11.

step 2 Compare the denominators of fractions 7/6 and 3/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 and 3/11 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 7/6 and 3/11:
The LCM of 6 and 11 is 66.

step 4 Write the fractions 7/6 and 3/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 3/11
= [(7 x 66)/(6 x 66)] + [(3 x 66)/(11 x 66)]

step 5 Simplify the expression to have common denominator:
= 77/66 + 18/66

step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (77/1 + 18/1)
= 1/66 x (77 + 18)

step 7Simplify the above expression further:
= 1/66 x 95
= 95/66
7/6 + 3/11 = 95/66

Hence,
7/6 plus 3/11 as a fraction is 95/66.

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7/6 + 3/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 3/11

What to be found?
(7/6)+(3/11) = ?
Find what's the sum of 7/6 and 3/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 11), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (7 x 11) + (3 x 6)/(6 x 11)

step 3 Simplify and rewrite the fraction:
= (77 + 18)/66
7/6 + 3/11 = 95/66

Hence,
7/6 plus 3/11 in fraction is 95/66