11/9 + 7/10 as a fraction

Learn how to find what is 11/9 plus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 11/9 + 7/10 as a fraction and decimal.

Summary: 11/9 plus 7/10 = 173/90
Since both fractions have unequal denominators, 11/9 plus 7/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/9 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 10. 90 is the LCM of 9 and 10. Multiplying the LCM 90 with the numerators and denominators of both fractions (11/9 x 90/90) + (7/10 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 11/9 is 110/90 and for 7/10 is 63/90. By simplifying this fraction addition 110/90 + 63/90, it becomes 173/90.

CALCULATION: 11/9 + 7/10 as a fraction
11/9 + 7/10 = (?)
11/9 + 7/10 = [(11 x 10) + (7 x 9)]/(9 x 10)
= (110 + 63)/90
= 173/90
11/9 + 7/10 = 173/90
11/9 plus 7/10 as a fraction is 173/90.

where
11/9 is a improper fraction as an addend,
7/10 is a proper fraction as an addend,
173/90 is the sum of 11/9 and 7/10.

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11/9 plus 7/10 as a decimal
11/9 + 7/10 = 173/90
173/90 = 1.9222
(11/9) + (7/10) as a decimal is 1.9222

where
1.9222 is the sum of 11/9 and 7/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/9 and 7/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/9 plus 7/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/9) + (7/10) using LCM Method:
What is 11/9 plus 7/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 7/10

What to be found?
(11/9) + (7/10) = ?
Find what's the sum of 11/9 and 7/10.

step 2 Compare the denominators of fractions 11/9 and 7/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/9 and 7/10 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 11/9 and 7/10:
The LCM of 9 and 10 is 90.

step 4 Write the fractions 11/9 and 7/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/9 + 7/10
= [(11 x 90)/(9 x 90)] + [(7 x 90)/(10 x 90)]

step 5 Simplify the expression to have common denominator:
= 110/90 + 63/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (110/1 + 63/1)
= 1/90 x (110 + 63)

step 7Simplify the above expression further:
= 1/90 x 173
= 173/90
11/9 + 7/10 = 173/90

Hence,
11/9 plus 7/10 as a fraction is 173/90.

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11/9 + 7/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/9
Fraction B: 7/10

What to be found?
(11/9)+(7/10) = ?
Find what's the sum of 11/9 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 10), find the product of numerator of Fraction B and denominator of Fraction A (7 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 10) and rewrite the equation as like the below:
= (11 x 10) + (7 x 9)/(9 x 10)

step 3 Simplify and rewrite the fraction:
= (110 + 63)/90
11/9 + 7/10 = 173/90

Hence,
11/9 plus 7/10 in fraction is 173/90