12/7 + 11/9 as a fraction

Learn how to find what is 12/7 plus 11/9 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 11/9 as a fraction and decimal.

Summary: 12/7 plus 11/9 = 185/63
Since both fractions have unequal denominators, 12/7 plus 11/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 11/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (12/7 x 63/63) + (11/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 108/63 and for 11/9 is 77/63. By simplifying this fraction addition 108/63 + 77/63, it becomes 185/63.

CALCULATION: 12/7 + 11/9 as a fraction
12/7 + 11/9 = (?)
12/7 + 11/9 = [(12 x 9) + (11 x 7)]/(7 x 9)
= (108 + 77)/63
= 185/63
12/7 + 11/9 = 185/63
12/7 plus 11/9 as a fraction is 185/63.

where
12/7 is a improper fraction as an addend,
11/9 is a improper fraction as an addend,
185/63 is the sum of 12/7 and 11/9.

---

12/7 plus 11/9 as a decimal
12/7 + 11/9 = 185/63
185/63 = 2.9365
(12/7) + (11/9) as a decimal is 2.9365

where
2.9365 is the sum of 12/7 and 11/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 11/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 11/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (11/9) using LCM Method:
What is 12/7 plus 11/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 11/9

What to be found?
(12/7) + (11/9) = ?
Find what's the sum of 12/7 and 11/9.

step 2 Compare the denominators of fractions 12/7 and 11/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 11/9 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 12/7 and 11/9:
The LCM of 7 and 9 is 63.

step 4 Write the fractions 12/7 and 11/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 11/9
= [(12 x 63)/(7 x 63)] + [(11 x 63)/(9 x 63)]

step 5 Simplify the expression to have common denominator:
= 108/63 + 77/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (108/1 + 77/1)
= 1/63 x (108 + 77)

step 7Simplify the above expression further:
= 1/63 x 185
= 185/63
12/7 + 11/9 = 185/63

Hence,
12/7 plus 11/9 as a fraction is 185/63.

---

12/7 + 11/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 11/9

What to be found?
(12/7)+(11/9) = ?
Find what's the sum of 12/7 and 11/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 9), find the product of numerator of Fraction B and denominator of Fraction A (11 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (12 x 9) + (11 x 7)/(7 x 9)

step 3 Simplify and rewrite the fraction:
= (108 + 77)/63
12/7 + 11/9 = 185/63

Hence,
12/7 plus 11/9 in fraction is 185/63