11/3 + 4/17 as a fraction

Learn how to find what is 11/3 plus 4/17 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 4/17 as a fraction and decimal.

Summary: 11/3 plus 4/17 = 199/51
Since both fractions have unequal denominators, 11/3 plus 4/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 4/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 17. 51 is the LCM of 3 and 17. Multiplying the LCM 51 with the numerators and denominators of both fractions (11/3 x 51/51) + (4/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 187/51 and for 4/17 is 12/51. By simplifying this fraction addition 187/51 + 12/51, it becomes 199/51.

CALCULATION: 11/3 + 4/17 as a fraction
11/3 + 4/17 = (?)
11/3 + 4/17 = [(11 x 17) + (4 x 3)]/(3 x 17)
= (187 + 12)/51
= 199/51
11/3 + 4/17 = 199/51
11/3 plus 4/17 as a fraction is 199/51.

where
11/3 is a improper fraction as an addend,
4/17 is a proper fraction as an addend,
199/51 is the sum of 11/3 and 4/17.

---

11/3 plus 4/17 as a decimal
11/3 + 4/17 = 199/51
199/51 = 3.902
(11/3) + (4/17) as a decimal is 3.902

where
3.902 is the sum of 11/3 and 4/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 4/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 4/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (4/17) using LCM Method:
What is 11/3 plus 4/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 4/17

What to be found?
(11/3) + (4/17) = ?
Find what's the sum of 11/3 and 4/17.

step 2 Compare the denominators of fractions 11/3 and 4/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 4/17 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 11/3 and 4/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 11/3 and 4/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 4/17
= [(11 x 51)/(3 x 51)] + [(4 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 187/51 + 12/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (187/1 + 12/1)
= 1/51 x (187 + 12)

step 7Simplify the above expression further:
= 1/51 x 199
= 199/51
11/3 + 4/17 = 199/51

Hence,
11/3 plus 4/17 as a fraction is 199/51.

---

11/3 + 4/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 4/17

What to be found?
(11/3)+(4/17) = ?
Find what's the sum of 11/3 and 4/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 17), find the product of numerator of Fraction B and denominator of Fraction A (4 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (11 x 17) + (4 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (187 + 12)/51
11/3 + 4/17 = 199/51

Hence,
11/3 plus 4/17 in fraction is 199/51