14/5 + 2/9 as a fraction

Learn how to find what is 14/5 plus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 14/5 + 2/9 as a fraction and decimal.

Summary: 14/5 plus 2/9 = 136/45
Since both fractions have unequal denominators, 14/5 plus 2/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/5 and fraction 2/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 9. 45 is the LCM of 5 and 9. Multiplying the LCM 45 with the numerators and denominators of both fractions (14/5 x 45/45) + (2/9 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 14/5 is 126/45 and for 2/9 is 10/45. By simplifying this fraction addition 126/45 + 10/45, it becomes 136/45.

CALCULATION: 14/5 + 2/9 as a fraction
14/5 + 2/9 = (?)
14/5 + 2/9 = [(14 x 9) + (2 x 5)]/(5 x 9)
= (126 + 10)/45
= 136/45
14/5 + 2/9 = 136/45
14/5 plus 2/9 as a fraction is 136/45.

where
14/5 is a improper fraction as an addend,
2/9 is a proper fraction as an addend,
136/45 is the sum of 14/5 and 2/9.

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14/5 plus 2/9 as a decimal
14/5 + 2/9 = 136/45
136/45 = 3.0222
(14/5) + (2/9) as a decimal is 3.0222

where
3.0222 is the sum of 14/5 and 2/9.

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

(14/5) + (2/9) using LCM Method:
What is 14/5 plus 2/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 2/9

What to be found?
(14/5) + (2/9) = ?
Find what's the sum of 14/5 and 2/9.

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

step 4 Write the fractions 14/5 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/5 + 2/9
= [(14 x 45)/(5 x 45)] + [(2 x 45)/(9 x 45)]

step 5 Simplify the expression to have common denominator:
= 126/45 + 10/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (126/1 + 10/1)
= 1/45 x (126 + 10)

step 7Simplify the above expression further:
= 1/45 x 136
= 136/45
14/5 + 2/9 = 136/45

Hence,
14/5 plus 2/9 as a fraction is 136/45.

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14/5 + 2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/5
Fraction B: 2/9

What to be found?
(14/5)+(2/9) = ?
Find what's the sum of 14/5 and 2/9.

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

step 3 Simplify and rewrite the fraction:
= (126 + 10)/45
14/5 + 2/9 = 136/45

Hence,
14/5 plus 2/9 in fraction is 136/45