7/10 + 11/19 as a fraction

Learn how to find what is 7/10 plus 11/19 in fraction form just in a few minutes. We have covered the easiest method to write 7/10 + 11/19 as a fraction and decimal.

Summary: 7/10 plus 11/19 = 243/190
Since both fractions have unequal denominators, 7/10 plus 11/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/10 and fraction 11/19 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 (7/10 x 190/190) + (11/19 x 190/190), and simplify further in order to have the common denominator. So the equivalent fraction for 7/10 is 133/190 and for 11/19 is 110/190. By simplifying this fraction addition 133/190 + 110/190, it becomes 243/190.

CALCULATION: 7/10 + 11/19 as a fraction
7/10 + 11/19 = (?)
7/10 + 11/19 = [(7 x 19) + (11 x 10)]/(10 x 19)
= (133 + 110)/190
= 243/190
7/10 + 11/19 = 243/190
7/10 plus 11/19 as a fraction is 243/190.

where
7/10 is a proper fraction as an addend,
11/19 is a proper fraction as an addend,
243/190 is the sum of 7/10 and 11/19.

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7/10 plus 11/19 as a decimal
7/10 + 11/19 = 243/190
243/190 = 1.2789
(7/10) + (11/19) as a decimal is 1.2789

where
1.2789 is the sum of 7/10 and 11/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/10 and 11/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/10 plus 11/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/10) + (11/19) using LCM Method:
What is 7/10 plus 11/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 11/19

What to be found?
(7/10) + (11/19) = ?
Find what's the sum of 7/10 and 11/19.

step 2 Compare the denominators of fractions 7/10 and 11/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/10 and 11/19 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 7/10 and 11/19:
The LCM of 10 and 19 is 190.

step 4 Write the fractions 7/10 and 11/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/10 + 11/19
= [(7 x 190)/(10 x 190)] + [(11 x 190)/(19 x 190)]

step 5 Simplify the expression to have common denominator:
= 133/190 + 110/190

step 6 Take the common values out and rewrite the above expression like the below:
= 1/190 x (133/1 + 110/1)
= 1/190 x (133 + 110)

step 7Simplify the above expression further:
= 1/190 x 243
= 243/190
7/10 + 11/19 = 243/190

Hence,
7/10 plus 11/19 as a fraction is 243/190.

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7/10 + 11/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 11/19

What to be found?
(7/10)+(11/19) = ?
Find what's the sum of 7/10 and 11/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 19), find the product of numerator of Fraction B and denominator of Fraction A (11 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:
= (7 x 19) + (11 x 10)/(10 x 19)

step 3 Simplify and rewrite the fraction:
= (133 + 110)/190
7/10 + 11/19 = 243/190

Hence,
7/10 plus 11/19 in fraction is 243/190