11/7 + 2/19 as a fraction

Learn how to find what is 11/7 plus 2/19 in fraction form just in a few minutes. We have covered the easiest method to write 11/7 + 2/19 as a fraction and decimal.

Summary: 11/7 plus 2/19 = 223/133
Since both fractions have unequal denominators, 11/7 plus 2/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/7 and fraction 2/19 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 (11/7 x 133/133) + (2/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 11/7 is 209/133 and for 2/19 is 14/133. By simplifying this fraction addition 209/133 + 14/133, it becomes 223/133.

CALCULATION: 11/7 + 2/19 as a fraction
11/7 + 2/19 = (?)
11/7 + 2/19 = [(11 x 19) + (2 x 7)]/(7 x 19)
= (209 + 14)/133
= 223/133
11/7 + 2/19 = 223/133
11/7 plus 2/19 as a fraction is 223/133.

where
11/7 is a improper fraction as an addend,
2/19 is a proper fraction as an addend,
223/133 is the sum of 11/7 and 2/19.

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11/7 plus 2/19 as a decimal
11/7 + 2/19 = 223/133
223/133 = 1.6767
(11/7) + (2/19) as a decimal is 1.6767

where
1.6767 is the sum of 11/7 and 2/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/7 and 2/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/7 plus 2/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/7) + (2/19) using LCM Method:
What is 11/7 plus 2/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 2/19

What to be found?
(11/7) + (2/19) = ?
Find what's the sum of 11/7 and 2/19.

step 2 Compare the denominators of fractions 11/7 and 2/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/7 and 2/19 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 11/7 and 2/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 11/7 and 2/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/7 + 2/19
= [(11 x 133)/(7 x 133)] + [(2 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 209/133 + 14/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (209/1 + 14/1)
= 1/133 x (209 + 14)

step 7Simplify the above expression further:
= 1/133 x 223
= 223/133
11/7 + 2/19 = 223/133

Hence,
11/7 plus 2/19 as a fraction is 223/133.

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11/7 + 2/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/7
Fraction B: 2/19

What to be found?
(11/7)+(2/19) = ?
Find what's the sum of 11/7 and 2/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 19), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (11 x 19) + (2 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (209 + 14)/133
11/7 + 2/19 = 223/133

Hence,
11/7 plus 2/19 in fraction is 223/133