14/9 + 2/17 as a fraction

Learn how to find what is 14/9 plus 2/17 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 + 2/17 as a fraction and decimal.

Summary: 14/9 plus 2/17 = 256/153
Since both fractions have unequal denominators, 14/9 plus 2/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 2/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 17. 153 is the LCM of 9 and 17. Multiplying the LCM 153 with the numerators and denominators of both fractions (14/9 x 153/153) + (2/17 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 238/153 and for 2/17 is 18/153. By simplifying this fraction addition 238/153 + 18/153, it becomes 256/153.

CALCULATION: 14/9 + 2/17 as a fraction
14/9 + 2/17 = (?)
14/9 + 2/17 = [(14 x 17) + (2 x 9)]/(9 x 17)
= (238 + 18)/153
= 256/153
14/9 + 2/17 = 256/153
14/9 plus 2/17 as a fraction is 256/153.

where
14/9 is a improper fraction as an addend,
2/17 is a proper fraction as an addend,
256/153 is the sum of 14/9 and 2/17.

---

14/9 plus 2/17 as a decimal
14/9 + 2/17 = 256/153
256/153 = 1.6732
(14/9) + (2/17) as a decimal is 1.6732

where
1.6732 is the sum of 14/9 and 2/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 14/9 and 2/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 14/9 plus 2/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(14/9) + (2/17) using LCM Method:
What is 14/9 plus 2/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 2/17

What to be found?
(14/9) + (2/17) = ?
Find what's the sum of 14/9 and 2/17.

step 2 Compare the denominators of fractions 14/9 and 2/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 14/9 and 2/17 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 2/17:
The LCM of 9 and 17 is 153.

step 4 Write the fractions 14/9 and 2/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 + 2/17
= [(14 x 153)/(9 x 153)] + [(2 x 153)/(17 x 153)]

step 5 Simplify the expression to have common denominator:
= 238/153 + 18/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (238/1 + 18/1)
= 1/153 x (238 + 18)

step 7Simplify the above expression further:
= 1/153 x 256
= 256/153
14/9 + 2/17 = 256/153

Hence,
14/9 plus 2/17 as a fraction is 256/153.

---

14/9 + 2/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 2/17

What to be found?
(14/9)+(2/17) = ?
Find what's the sum of 14/9 and 2/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 17), 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 17) and rewrite the equation as like the below:
= (14 x 17) + (2 x 9)/(9 x 17)

step 3 Simplify and rewrite the fraction:
= (238 + 18)/153
14/9 + 2/17 = 256/153

Hence,
14/9 plus 2/17 in fraction is 256/153