9/7 + 14/11 as a fraction

Learn how to find what is 9/7 plus 14/11 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 + 14/11 as a fraction and decimal.

Summary: 9/7 plus 14/11 = 197/77
Since both fractions have unequal denominators, 9/7 plus 14/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 14/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 11. 77 is the LCM of 7 and 11. Multiplying the LCM 77 with the numerators and denominators of both fractions (9/7 x 77/77) + (14/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 99/77 and for 14/11 is 98/77. By simplifying this fraction addition 99/77 + 98/77, it becomes 197/77.

CALCULATION: 9/7 + 14/11 as a fraction
9/7 + 14/11 = (?)
9/7 + 14/11 = [(9 x 11) + (14 x 7)]/(7 x 11)
= (99 + 98)/77
= 197/77
9/7 + 14/11 = 197/77
9/7 plus 14/11 as a fraction is 197/77.

where
9/7 is a improper fraction as an addend,
14/11 is a improper fraction as an addend,
197/77 is the sum of 9/7 and 14/11.

---

9/7 plus 14/11 as a decimal
9/7 + 14/11 = 197/77
197/77 = 2.5584
(9/7) + (14/11) as a decimal is 2.5584

where
2.5584 is the sum of 9/7 and 14/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/7 and 14/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/7 plus 14/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/7) + (14/11) using LCM Method:
What is 9/7 plus 14/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 14/11

What to be found?
(9/7) + (14/11) = ?
Find what's the sum of 9/7 and 14/11.

step 2 Compare the denominators of fractions 9/7 and 14/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/7 and 14/11 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 9/7 and 14/11:
The LCM of 7 and 11 is 77.

step 4 Write the fractions 9/7 and 14/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 + 14/11
= [(9 x 77)/(7 x 77)] + [(14 x 77)/(11 x 77)]

step 5 Simplify the expression to have common denominator:
= 99/77 + 98/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (99/1 + 98/1)
= 1/77 x (99 + 98)

step 7Simplify the above expression further:
= 1/77 x 197
= 197/77
9/7 + 14/11 = 197/77

Hence,
9/7 plus 14/11 as a fraction is 197/77.

---

9/7 + 14/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 14/11

What to be found?
(9/7)+(14/11) = ?
Find what's the sum of 9/7 and 14/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 11), find the product of numerator of Fraction B and denominator of Fraction A (14 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (9 x 11) + (14 x 7)/(7 x 11)

step 3 Simplify and rewrite the fraction:
= (99 + 98)/77
9/7 + 14/11 = 197/77

Hence,
9/7 plus 14/11 in fraction is 197/77