11/10 + 10/19 as a fraction

Learn how to find what is 11/10 plus 10/19 in fraction form just in a few minutes. We have covered the easiest method to write 11/10 + 10/19 as a fraction and decimal.

Summary: 11/10 plus 10/19 = 309/190
Since both fractions have unequal denominators, 11/10 plus 10/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/10 and fraction 10/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 10 and 19. 190 is the LCM of 10 and 19. Multiplying the LCM 190 with the numerators and denominators of both fractions (11/10 x 190/190) + (10/19 x 190/190), and simplify further in order to have the common denominator. So the equivalent fraction for 11/10 is 209/190 and for 10/19 is 100/190. By simplifying this fraction addition 209/190 + 100/190, it becomes 309/190.

CALCULATION: 11/10 + 10/19 as a fraction
11/10 + 10/19 = (?)
11/10 + 10/19 = [(11 x 19) + (10 x 10)]/(10 x 19)
= (209 + 100)/190
= 309/190
11/10 + 10/19 = 309/190
11/10 plus 10/19 as a fraction is 309/190.

where
11/10 is a improper fraction as an addend,
10/19 is a proper fraction as an addend,
309/190 is the sum of 11/10 and 10/19.

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11/10 plus 10/19 as a decimal
11/10 + 10/19 = 309/190
309/190 = 1.6263
(11/10) + (10/19) as a decimal is 1.6263

where
1.6263 is the sum of 11/10 and 10/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/10 and 10/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/10 plus 10/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/10) + (10/19) using LCM Method:
What is 11/10 plus 10/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/10
Fraction B: 10/19

What to be found?
(11/10) + (10/19) = ?
Find what's the sum of 11/10 and 10/19.

step 2 Compare the denominators of fractions 11/10 and 10/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/10 and 10/19 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 11/10 and 10/19:
The LCM of 10 and 19 is 190.

step 4 Write the fractions 11/10 and 10/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/10 + 10/19
= [(11 x 190)/(10 x 190)] + [(10 x 190)/(19 x 190)]

step 5 Simplify the expression to have common denominator:
= 209/190 + 100/190

step 6 Take the common values out and rewrite the above expression like the below:
= 1/190 x (209/1 + 100/1)
= 1/190 x (209 + 100)

step 7Simplify the above expression further:
= 1/190 x 309
= 309/190
11/10 + 10/19 = 309/190

Hence,
11/10 plus 10/19 as a fraction is 309/190.

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11/10 + 10/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/10
Fraction B: 10/19

What to be found?
(11/10)+(10/19) = ?
Find what's the sum of 11/10 and 10/19.

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 (10 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 19) and rewrite the equation as like the below:
= (11 x 19) + (10 x 10)/(10 x 19)

step 3 Simplify and rewrite the fraction:
= (209 + 100)/190
11/10 + 10/19 = 309/190

Hence,
11/10 plus 10/19 in fraction is 309/190