14/9 + 1/6 as a fraction

Learn how to find what is 14/9 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 1/6 as a fraction and decimal.

Summary: 14/9 plus 1/6 = 31/18
Since both fractions have unequal denominators, 14/9 plus 1/6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 1/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 6. 18 is the LCM of 9 and 6. Multiplying the LCM 18 with the numerators and denominators of both fractions (14/9 x 18/18) + (1/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 28/18 and for 1/6 is 3/18. By simplifying this fraction addition 28/18 + 3/18, it becomes 31/18.

CALCULATION: 14/9 + 1/6 as a fraction
14/9 + 1/6 = (?)
14/9 + 1/6 = [(14 x 6) + (1 x 9)]/(9 x 6)
= (84 + 9)/54
= 93/54
= (3 x 31)/(3 x 18)
= 31/18
14/9 + 1/6 = 31/18
14/9 plus 1/6 as a fraction is 31/18.

where
14/9 is a improper fraction as an addend,
1/6 is a proper fraction as an addend,
31/18 is the sum of 14/9 and 1/6.

---

14/9 plus 1/6 as a decimal
14/9 + 1/6 = 31/18
31/18 = 1.7222
(14/9) + (1/6) as a decimal is 1.7222

where
1.7222 is the sum of 14/9 and 1/6.

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

(14/9) + (1/6) using LCM Method:
What is 14/9 plus 1/6 as a fraction?

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

What to be found?
(14/9) + (1/6) = ?
Find what's the sum of 14/9 and 1/6.

step 2 Compare the denominators of fractions 14/9 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 and 1/6 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 1/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 14/9 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 1/6
= [(14 x 18)/(9 x 18)] + [(1 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 28/18 + 3/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (28/1 + 3/1)
= 1/18 x (28 + 3)

step 7Simplify the above expression further:
= 1/18 x 31
= 31/18
14/9 + 1/6 = 31/18

Hence,
14/9 plus 1/6 as a fraction is 31/18.

---

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

What to be found?
(14/9)+(1/6) = ?
Find what's the sum of 14/9 and 1/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (14 x 6) + (1 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (84 + 9)/54
= 93/54
= 31/18
14/9 + 1/6 = 31/18

Hence,
14/9 plus 1/6 in fraction is 31/18