16/7 + 4/19 as a fraction

Learn how to find what is 16/7 plus 4/19 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 4/19 as a fraction and decimal.

Summary: 16/7 plus 4/19 = 332/133
Since both fractions have unequal denominators, 16/7 plus 4/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 4/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 19. 133 is the LCM of 7 and 19. Multiplying the LCM 133 with the numerators and denominators of both fractions (16/7 x 133/133) + (4/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 304/133 and for 4/19 is 28/133. By simplifying this fraction addition 304/133 + 28/133, it becomes 332/133.

CALCULATION: 16/7 + 4/19 as a fraction
16/7 + 4/19 = (?)
16/7 + 4/19 = [(16 x 19) + (4 x 7)]/(7 x 19)
= (304 + 28)/133
= 332/133
16/7 + 4/19 = 332/133
16/7 plus 4/19 as a fraction is 332/133.

where
16/7 is a improper fraction as an addend,
4/19 is a proper fraction as an addend,
332/133 is the sum of 16/7 and 4/19.

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16/7 plus 4/19 as a decimal
16/7 + 4/19 = 332/133
332/133 = 2.4962
(16/7) + (4/19) as a decimal is 2.4962

where
2.4962 is the sum of 16/7 and 4/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 4/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 4/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (4/19) using LCM Method:
What is 16/7 plus 4/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 4/19

What to be found?
(16/7) + (4/19) = ?
Find what's the sum of 16/7 and 4/19.

step 2 Compare the denominators of fractions 16/7 and 4/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 and 4/19 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 16/7 and 4/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 16/7 and 4/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 4/19
= [(16 x 133)/(7 x 133)] + [(4 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 304/133 + 28/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (304/1 + 28/1)
= 1/133 x (304 + 28)

step 7Simplify the above expression further:
= 1/133 x 332
= 332/133
16/7 + 4/19 = 332/133

Hence,
16/7 plus 4/19 as a fraction is 332/133.

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16/7 + 4/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 4/19

What to be found?
(16/7)+(4/19) = ?
Find what's the sum of 16/7 and 4/19.

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 (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 19) and rewrite the equation as like the below:
= (16 x 19) + (4 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (304 + 28)/133
16/7 + 4/19 = 332/133

Hence,
16/7 plus 4/19 in fraction is 332/133