10/3 + 14/11 as a fraction

Learn how to find what is 10/3 plus 14/11 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 + 14/11 as a fraction and decimal.

Summary: 10/3 plus 14/11 = 152/33
Since both fractions have unequal denominators, 10/3 plus 14/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 14/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 11. 33 is the LCM of 3 and 11. Multiplying the LCM 33 with the numerators and denominators of both fractions (10/3 x 33/33) + (14/11 x 33/33), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 110/33 and for 14/11 is 42/33. By simplifying this fraction addition 110/33 + 42/33, it becomes 152/33.

CALCULATION: 10/3 + 14/11 as a fraction
10/3 + 14/11 = (?)
10/3 + 14/11 = [(10 x 11) + (14 x 3)]/(3 x 11)
= (110 + 42)/33
= 152/33
10/3 + 14/11 = 152/33
10/3 plus 14/11 as a fraction is 152/33.

where
10/3 is a improper fraction as an addend,
14/11 is a improper fraction as an addend,
152/33 is the sum of 10/3 and 14/11.

---

10/3 plus 14/11 as a decimal
10/3 + 14/11 = 152/33
152/33 = 4.6061
(10/3) + (14/11) as a decimal is 4.6061

where
4.6061 is the sum of 10/3 and 14/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/3 and 14/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/3 plus 14/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/3) + (14/11) using LCM Method:
What is 10/3 plus 14/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 14/11

What to be found?
(10/3) + (14/11) = ?
Find what's the sum of 10/3 and 14/11.

step 2 Compare the denominators of fractions 10/3 and 14/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/3 and 14/11 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 10/3 and 14/11:
The LCM of 3 and 11 is 33.

step 4 Write the fractions 10/3 and 14/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 + 14/11
= [(10 x 33)/(3 x 33)] + [(14 x 33)/(11 x 33)]

step 5 Simplify the expression to have common denominator:
= 110/33 + 42/33

step 6 Take the common values out and rewrite the above expression like the below:
= 1/33 x (110/1 + 42/1)
= 1/33 x (110 + 42)

step 7Simplify the above expression further:
= 1/33 x 152
= 152/33
10/3 + 14/11 = 152/33

Hence,
10/3 plus 14/11 as a fraction is 152/33.

---

10/3 + 14/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 14/11

What to be found?
(10/3)+(14/11) = ?
Find what's the sum of 10/3 and 14/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 11), find the product of numerator of Fraction B and denominator of Fraction A (14 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (10 x 11) + (14 x 3)/(3 x 11)

step 3 Simplify and rewrite the fraction:
= (110 + 42)/33
10/3 + 14/11 = 152/33

Hence,
10/3 plus 14/11 in fraction is 152/33