7/5 + 10/11 as a fraction

Learn how to find what is 7/5 plus 10/11 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 + 10/11 as a fraction and decimal.

Summary: 7/5 plus 10/11 = 127/55
Since both fractions have unequal denominators, 7/5 plus 10/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/5 and fraction 10/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 11. 55 is the LCM of 5 and 11. Multiplying the LCM 55 with the numerators and denominators of both fractions (7/5 x 55/55) + (10/11 x 55/55), and simplify further in order to have the common denominator. So the equivalent fraction for 7/5 is 77/55 and for 10/11 is 50/55. By simplifying this fraction addition 77/55 + 50/55, it becomes 127/55.

CALCULATION: 7/5 + 10/11 as a fraction
7/5 + 10/11 = (?)
7/5 + 10/11 = [(7 x 11) + (10 x 5)]/(5 x 11)
= (77 + 50)/55
= 127/55
7/5 + 10/11 = 127/55
7/5 plus 10/11 as a fraction is 127/55.

where
7/5 is a improper fraction as an addend,
10/11 is a proper fraction as an addend,
127/55 is the sum of 7/5 and 10/11.

---

7/5 plus 10/11 as a decimal
7/5 + 10/11 = 127/55
127/55 = 2.3091
(7/5) + (10/11) as a decimal is 2.3091

where
2.3091 is the sum of 7/5 and 10/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/5 and 10/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/5 plus 10/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/5) + (10/11) using LCM Method:
What is 7/5 plus 10/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 10/11

What to be found?
(7/5) + (10/11) = ?
Find what's the sum of 7/5 and 10/11.

step 2 Compare the denominators of fractions 7/5 and 10/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/5 and 10/11 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 7/5 and 10/11:
The LCM of 5 and 11 is 55.

step 4 Write the fractions 7/5 and 10/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/5 + 10/11
= [(7 x 55)/(5 x 55)] + [(10 x 55)/(11 x 55)]

step 5 Simplify the expression to have common denominator:
= 77/55 + 50/55

step 6 Take the common values out and rewrite the above expression like the below:
= 1/55 x (77/1 + 50/1)
= 1/55 x (77 + 50)

step 7Simplify the above expression further:
= 1/55 x 127
= 127/55
7/5 + 10/11 = 127/55

Hence,
7/5 plus 10/11 as a fraction is 127/55.

---

7/5 + 10/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 10/11

What to be found?
(7/5)+(10/11) = ?
Find what's the sum of 7/5 and 10/11.

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 (10 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 11) and rewrite the equation as like the below:
= (7 x 11) + (10 x 5)/(5 x 11)

step 3 Simplify and rewrite the fraction:
= (77 + 50)/55
7/5 + 10/11 = 127/55

Hence,
7/5 plus 10/11 in fraction is 127/55