14/9 + 2/15 as a fraction

Learn how to find what is 14/9 plus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 2/15 as a fraction and decimal.

Summary: 14/9 plus 2/15 = 76/45
Since both fractions have unequal denominators, 14/9 plus 2/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 2/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (14/9 x 45/45) + (2/15 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 2/15 is 6/45. By simplifying this fraction addition 70/45 + 6/45, it becomes 76/45.

CALCULATION: 14/9 + 2/15 as a fraction
14/9 + 2/15 = (?)
14/9 + 2/15 = [(14 x 15) + (2 x 9)]/(9 x 15)
= (210 + 18)/135
= 228/135
= (3 x 76)/(3 x 45)
= 76/45
14/9 + 2/15 = 76/45
14/9 plus 2/15 as a fraction is 76/45.

where
14/9 is a improper fraction as an addend,
2/15 is a proper fraction as an addend,
76/45 is the sum of 14/9 and 2/15.

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14/9 plus 2/15 as a decimal
14/9 + 2/15 = 76/45
76/45 = 1.6889
(14/9) + (2/15) as a decimal is 1.6889

where
1.6889 is the sum of 14/9 and 2/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/9 and 2/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/9 plus 2/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/9) + (2/15) using LCM Method:
What is 14/9 plus 2/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 2/15

What to be found?
(14/9) + (2/15) = ?
Find what's the sum of 14/9 and 2/15.

step 2 Compare the denominators of fractions 14/9 and 2/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 and 2/15 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 2/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 14/9 and 2/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 2/15
= [(14 x 45)/(9 x 45)] + [(2 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 70/45 + 6/45

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

step 7Simplify the above expression further:
= 1/45 x 76
= 76/45
14/9 + 2/15 = 76/45

Hence,
14/9 plus 2/15 as a fraction is 76/45.

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14/9 + 2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 2/15

What to be found?
(14/9)+(2/15) = ?
Find what's the sum of 14/9 and 2/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 15), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 15) and rewrite the equation as like the below:
= (14 x 15) + (2 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (210 + 18)/135
= 228/135
= 76/45
14/9 + 2/15 = 76/45

Hence,
14/9 plus 2/15 in fraction is 76/45