14/9 + 6/5 as a fraction

Learn how to find what is 14/9 plus 6/5 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 6/5 as a fraction and decimal.

Summary: 14/9 plus 6/5 = 124/45
Since both fractions have unequal denominators, 14/9 plus 6/5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 6/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 5. 45 is the LCM of 9 and 5. Multiplying the LCM 45 with the numerators and denominators of both fractions (14/9 x 45/45) + (6/5 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 70/45 and for 6/5 is 54/45. By simplifying this fraction addition 70/45 + 54/45, it becomes 124/45.

CALCULATION: 14/9 + 6/5 as a fraction
14/9 + 6/5 = (?)
14/9 + 6/5 = [(14 x 5) + (6 x 9)]/(9 x 5)
= (70 + 54)/45
= 124/45
14/9 + 6/5 = 124/45
14/9 plus 6/5 as a fraction is 124/45.

where
14/9 is a improper fraction as an addend,
6/5 is a improper fraction as an addend,
124/45 is the sum of 14/9 and 6/5.

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14/9 plus 6/5 as a decimal
14/9 + 6/5 = 124/45
124/45 = 2.7556
(14/9) + (6/5) as a decimal is 2.7556

where
2.7556 is the sum of 14/9 and 6/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/9 and 6/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/9 plus 6/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/9) + (6/5) using LCM Method:
What is 14/9 plus 6/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 6/5

What to be found?
(14/9) + (6/5) = ?
Find what's the sum of 14/9 and 6/5.

step 2 Compare the denominators of fractions 14/9 and 6/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 and 6/5 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 14/9 and 6/5:
The LCM of 9 and 5 is 45.

step 4 Write the fractions 14/9 and 6/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 6/5
= [(14 x 45)/(9 x 45)] + [(6 x 45)/(5 x 45)]

step 5 Simplify the expression to have common denominator:
= 70/45 + 54/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (70/1 + 54/1)
= 1/45 x (70 + 54)

step 7Simplify the above expression further:
= 1/45 x 124
= 124/45
14/9 + 6/5 = 124/45

Hence,
14/9 plus 6/5 as a fraction is 124/45.

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14/9 + 6/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 6/5

What to be found?
(14/9)+(6/5) = ?
Find what's the sum of 14/9 and 6/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 5), find the product of numerator of Fraction B and denominator of Fraction A (6 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 5) and rewrite the equation as like the below:
= (14 x 5) + (6 x 9)/(9 x 5)

step 3 Simplify and rewrite the fraction:
= (70 + 54)/45
14/9 + 6/5 = 124/45

Hence,
14/9 plus 6/5 in fraction is 124/45