5/6 + 11/14 as a fraction

Learn how to find what is 5/6 plus 11/14 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 + 11/14 as a fraction and decimal.

Summary: 5/6 plus 11/14 = 34/21
Since both fractions have unequal denominators, 5/6 plus 11/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 11/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 14. 42 is the LCM of 6 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (5/6 x 42/42) + (11/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 35/42 and for 11/14 is 33/42. By simplifying this fraction addition 35/42 + 33/42, it becomes 68/42.

CALCULATION: 5/6 + 11/14 as a fraction
5/6 + 11/14 = (?)
5/6 + 11/14 = [(5 x 14) + (11 x 6)]/(6 x 14)
= (70 + 66)/84
= 136/84
= (4 x 34)/(4 x 21)
= 34/21
5/6 + 11/14 = 34/21
5/6 plus 11/14 as a fraction is 34/21.

where
5/6 is a proper fraction as an addend,
11/14 is a proper fraction as an addend,
34/21 is the sum of 5/6 and 11/14.

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5/6 plus 11/14 as a decimal
5/6 + 11/14 = 34/21
34/21 = 1.619
(5/6) + (11/14) as a decimal is 1.619

where
1.619 is the sum of 5/6 and 11/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/6 and 11/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/6 plus 11/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/6) + (11/14) using LCM Method:
What is 5/6 plus 11/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 11/14

What to be found?
(5/6) + (11/14) = ?
Find what's the sum of 5/6 and 11/14.

step 2 Compare the denominators of fractions 5/6 and 11/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 11/14 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 5/6 and 11/14:
The LCM of 6 and 14 is 42.

step 4 Write the fractions 5/6 and 11/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 + 11/14
= [(5 x 42)/(6 x 42)] + [(11 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 35/42 + 33/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (35/1 + 33/1)
= 1/42 x (35 + 33)

step 7Simplify the above expression further:
= 1/42 x 68
= 68/42
= 34/21
5/6 + 11/14 = 34/21

Hence,
5/6 plus 11/14 as a fraction is 34/21.

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5/6 + 11/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 11/14

What to be found?
(5/6)+(11/14) = ?
Find what's the sum of 5/6 and 11/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 14), find the product of numerator of Fraction B and denominator of Fraction A (11 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 14) and rewrite the equation as like the below:
= (5 x 14) + (11 x 6)/(6 x 14)

step 3 Simplify and rewrite the fraction:
= (70 + 66)/84
= 136/84
= 34/21
5/6 + 11/14 = 34/21

Hence,
5/6 plus 11/14 in fraction is 34/21