16/3 + 16/19 as a fraction

Learn how to find what is 16/3 plus 16/19 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 + 16/19 as a fraction and decimal.

Summary: 16/3 plus 16/19 = 352/57
Since both fractions have unequal denominators, 16/3 plus 16/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 16/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 19. 57 is the LCM of 3 and 19. Multiplying the LCM 57 with the numerators and denominators of both fractions (16/3 x 57/57) + (16/19 x 57/57), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 304/57 and for 16/19 is 48/57. By simplifying this fraction addition 304/57 + 48/57, it becomes 352/57.

CALCULATION: 16/3 + 16/19 as a fraction
16/3 + 16/19 = (?)
16/3 + 16/19 = [(16 x 19) + (16 x 3)]/(3 x 19)
= (304 + 48)/57
= 352/57
16/3 + 16/19 = 352/57
16/3 plus 16/19 as a fraction is 352/57.

where
16/3 is a improper fraction as an addend,
16/19 is a proper fraction as an addend,
352/57 is the sum of 16/3 and 16/19.

---

16/3 plus 16/19 as a decimal
16/3 + 16/19 = 352/57
352/57 = 6.1754
(16/3) + (16/19) as a decimal is 6.1754

where
6.1754 is the sum of 16/3 and 16/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/3 and 16/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/3 plus 16/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/3) + (16/19) using LCM Method:
What is 16/3 plus 16/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 16/19

What to be found?
(16/3) + (16/19) = ?
Find what's the sum of 16/3 and 16/19.

step 2 Compare the denominators of fractions 16/3 and 16/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/3 and 16/19 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 16/3 and 16/19:
The LCM of 3 and 19 is 57.

step 4 Write the fractions 16/3 and 16/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 + 16/19
= [(16 x 57)/(3 x 57)] + [(16 x 57)/(19 x 57)]

step 5 Simplify the expression to have common denominator:
= 304/57 + 48/57

step 6 Take the common values out and rewrite the above expression like the below:
= 1/57 x (304/1 + 48/1)
= 1/57 x (304 + 48)

step 7Simplify the above expression further:
= 1/57 x 352
= 352/57
16/3 + 16/19 = 352/57

Hence,
16/3 plus 16/19 as a fraction is 352/57.

---

16/3 + 16/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 16/19

What to be found?
(16/3)+(16/19) = ?
Find what's the sum of 16/3 and 16/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 19), find the product of numerator of Fraction B and denominator of Fraction A (16 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 19) and rewrite the equation as like the below:
= (16 x 19) + (16 x 3)/(3 x 19)

step 3 Simplify and rewrite the fraction:
= (304 + 48)/57
16/3 + 16/19 = 352/57

Hence,
16/3 plus 16/19 in fraction is 352/57