16/5 + 11/17 as a fraction

Learn how to find what is 16/5 plus 11/17 in fraction form just in a few minutes. We have covered the easiest method to write 16/5 + 11/17 as a fraction and decimal.

Summary: 16/5 plus 11/17 = 327/85
Since both fractions have unequal denominators, 16/5 plus 11/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/5 and fraction 11/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 17. 85 is the LCM of 5 and 17. Multiplying the LCM 85 with the numerators and denominators of both fractions (16/5 x 85/85) + (11/17 x 85/85), and simplify further in order to have the common denominator. So the equivalent fraction for 16/5 is 272/85 and for 11/17 is 55/85. By simplifying this fraction addition 272/85 + 55/85, it becomes 327/85.

CALCULATION: 16/5 + 11/17 as a fraction
16/5 + 11/17 = (?)
16/5 + 11/17 = [(16 x 17) + (11 x 5)]/(5 x 17)
= (272 + 55)/85
= 327/85
16/5 + 11/17 = 327/85
16/5 plus 11/17 as a fraction is 327/85.

where
16/5 is a improper fraction as an addend,
11/17 is a proper fraction as an addend,
327/85 is the sum of 16/5 and 11/17.

---

16/5 plus 11/17 as a decimal
16/5 + 11/17 = 327/85
327/85 = 3.8471
(16/5) + (11/17) as a decimal is 3.8471

where
3.8471 is the sum of 16/5 and 11/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/5 and 11/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/5 plus 11/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/5) + (11/17) using LCM Method:
What is 16/5 plus 11/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 11/17

What to be found?
(16/5) + (11/17) = ?
Find what's the sum of 16/5 and 11/17.

step 2 Compare the denominators of fractions 16/5 and 11/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/5 and 11/17 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 16/5 and 11/17:
The LCM of 5 and 17 is 85.

step 4 Write the fractions 16/5 and 11/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/5 + 11/17
= [(16 x 85)/(5 x 85)] + [(11 x 85)/(17 x 85)]

step 5 Simplify the expression to have common denominator:
= 272/85 + 55/85

step 6 Take the common values out and rewrite the above expression like the below:
= 1/85 x (272/1 + 55/1)
= 1/85 x (272 + 55)

step 7Simplify the above expression further:
= 1/85 x 327
= 327/85
16/5 + 11/17 = 327/85

Hence,
16/5 plus 11/17 as a fraction is 327/85.

---

16/5 + 11/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/5
Fraction B: 11/17

What to be found?
(16/5)+(11/17) = ?
Find what's the sum of 16/5 and 11/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 17), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 17) and rewrite the equation as like the below:
= (16 x 17) + (11 x 5)/(5 x 17)

step 3 Simplify and rewrite the fraction:
= (272 + 55)/85
16/5 + 11/17 = 327/85

Hence,
16/5 plus 11/17 in fraction is 327/85