17/3 + 11/20 as a fraction

Learn how to find what is 17/3 plus 11/20 in fraction form just in a few minutes. We have covered the easiest method to write 17/3 + 11/20 as a fraction and decimal.

Summary: 17/3 plus 11/20 = 373/60
Since both fractions have unequal denominators, 17/3 plus 11/20 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/3 and fraction 11/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 20. 60 is the LCM of 3 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (17/3 x 60/60) + (11/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 17/3 is 340/60 and for 11/20 is 33/60. By simplifying this fraction addition 340/60 + 33/60, it becomes 373/60.

CALCULATION: 17/3 + 11/20 as a fraction
17/3 + 11/20 = (?)
17/3 + 11/20 = [(17 x 20) + (11 x 3)]/(3 x 20)
= (340 + 33)/60
= 373/60
17/3 + 11/20 = 373/60
17/3 plus 11/20 as a fraction is 373/60.

where
17/3 is a improper fraction as an addend,
11/20 is a proper fraction as an addend,
373/60 is the sum of 17/3 and 11/20.

---

17/3 plus 11/20 as a decimal
17/3 + 11/20 = 373/60
373/60 = 6.2167
(17/3) + (11/20) as a decimal is 6.2167

where
6.2167 is the sum of 17/3 and 11/20.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/3 and 11/20 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/3 plus 11/20 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/3) + (11/20) using LCM Method:
What is 17/3 plus 11/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 11/20

What to be found?
(17/3) + (11/20) = ?
Find what's the sum of 17/3 and 11/20.

step 2 Compare the denominators of fractions 17/3 and 11/20 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/3 and 11/20 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 17/3 and 11/20:
The LCM of 3 and 20 is 60.

step 4 Write the fractions 17/3 and 11/20 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/3 + 11/20
= [(17 x 60)/(3 x 60)] + [(11 x 60)/(20 x 60)]

step 5 Simplify the expression to have common denominator:
= 340/60 + 33/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (340/1 + 33/1)
= 1/60 x (340 + 33)

step 7Simplify the above expression further:
= 1/60 x 373
= 373/60
17/3 + 11/20 = 373/60

Hence,
17/3 plus 11/20 as a fraction is 373/60.

---

17/3 + 11/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/3
Fraction B: 11/20

What to be found?
(17/3)+(11/20) = ?
Find what's the sum of 17/3 and 11/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 20), find the product of numerator of Fraction B and denominator of Fraction A (11 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (17 x 20) + (11 x 3)/(3 x 20)

step 3 Simplify and rewrite the fraction:
= (340 + 33)/60
17/3 + 11/20 = 373/60

Hence,
17/3 plus 11/20 in fraction is 373/60