11/2 + 10/7 as a fraction

Learn how to find what is 11/2 plus 10/7 in fraction form just in a few minutes. We have covered the easiest method to write 11/2 + 10/7 as a fraction and decimal.

Summary: 11/2 plus 10/7 = 97/14
Since both fractions have unequal denominators, 11/2 plus 10/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/2 and fraction 10/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (11/2 x 14/14) + (10/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 11/2 is 77/14 and for 10/7 is 20/14. By simplifying this fraction addition 77/14 + 20/14, it becomes 97/14.

CALCULATION: 11/2 + 10/7 as a fraction
11/2 + 10/7 = (?)
11/2 + 10/7 = [(11 x 7) + (10 x 2)]/(2 x 7)
= (77 + 20)/14
= 97/14
11/2 + 10/7 = 97/14
11/2 plus 10/7 as a fraction is 97/14.

where
11/2 is a improper fraction as an addend,
10/7 is a improper fraction as an addend,
97/14 is the sum of 11/2 and 10/7.

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11/2 plus 10/7 as a decimal
11/2 + 10/7 = 97/14
97/14 = 6.9286
(11/2) + (10/7) as a decimal is 6.9286

where
6.9286 is the sum of 11/2 and 10/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/2 and 10/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/2 plus 10/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/2) + (10/7) using LCM Method:
What is 11/2 plus 10/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 10/7

What to be found?
(11/2) + (10/7) = ?
Find what's the sum of 11/2 and 10/7.

step 2 Compare the denominators of fractions 11/2 and 10/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/2 and 10/7 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 11/2 and 10/7:
The LCM of 2 and 7 is 14.

step 4 Write the fractions 11/2 and 10/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/2 + 10/7
= [(11 x 14)/(2 x 14)] + [(10 x 14)/(7 x 14)]

step 5 Simplify the expression to have common denominator:
= 77/14 + 20/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (77/1 + 20/1)
= 1/14 x (77 + 20)

step 7Simplify the above expression further:
= 1/14 x 97
= 97/14
11/2 + 10/7 = 97/14

Hence,
11/2 plus 10/7 as a fraction is 97/14.

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11/2 + 10/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/2
Fraction B: 10/7

What to be found?
(11/2)+(10/7) = ?
Find what's the sum of 11/2 and 10/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 7), find the product of numerator of Fraction B and denominator of Fraction A (10 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (11 x 7) + (10 x 2)/(2 x 7)

step 3 Simplify and rewrite the fraction:
= (77 + 20)/14
11/2 + 10/7 = 97/14

Hence,
11/2 plus 10/7 in fraction is 97/14