14/3 + 2/9 as a fraction

Learn how to find what is 14/3 plus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 14/3 + 2/9 as a fraction and decimal.

Summary: 14/3 plus 2/9 = 44/9
Since both fractions have unequal denominators, 14/3 plus 2/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/3 and fraction 2/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 9. 9 is the LCM of 3 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (14/3 x 9/9) + (2/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 14/3 is 42/9 and for 2/9 is 2/9. By simplifying this fraction addition 42/9 + 2/9, it becomes 44/9.

CALCULATION: 14/3 + 2/9 as a fraction
14/3 + 2/9 = (?)
14/3 + 2/9 = [(14 x 9) + (2 x 3)]/(3 x 9)
= (126 + 6)/27
= 132/27
= (3 x 44)/(3 x 9)
= 44/9
14/3 + 2/9 = 44/9
14/3 plus 2/9 as a fraction is 44/9.

where
14/3 is a improper fraction as an addend,
2/9 is a proper fraction as an addend,
44/9 is the sum of 14/3 and 2/9.

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14/3 plus 2/9 as a decimal
14/3 + 2/9 = 44/9
44/9 = 4.8889
(14/3) + (2/9) as a decimal is 4.8889

where
4.8889 is the sum of 14/3 and 2/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/3 and 2/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/3 plus 2/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/3) + (2/9) using LCM Method:
What is 14/3 plus 2/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/9

What to be found?
(14/3) + (2/9) = ?
Find what's the sum of 14/3 and 2/9.

step 2 Compare the denominators of fractions 14/3 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/3 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 14/3 and 2/9:
The LCM of 3 and 9 is 9.

step 4 Write the fractions 14/3 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/3 + 2/9
= [(14 x 9)/(3 x 9)] + [(2 x 9)/(9 x 9)]

step 5 Simplify the expression to have common denominator:
= 42/9 + 2/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (42/1 + 2/1)
= 1/9 x (42 + 2)

step 7Simplify the above expression further:
= 1/9 x 44
= 44/9
14/3 + 2/9 = 44/9

Hence,
14/3 plus 2/9 as a fraction is 44/9.

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14/3 + 2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/9

What to be found?
(14/3)+(2/9) = ?
Find what's the sum of 14/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
= (14 x 9) + (2 x 3)/(3 x 9)

step 3 Simplify and rewrite the fraction:
= (126 + 6)/27
= 132/27
= 44/9
14/3 + 2/9 = 44/9

Hence,
14/3 plus 2/9 in fraction is 44/9