16/19 + 11 as a fraction

Learn how to find what is 16/19 plus 11 in fraction form just in a few minutes. We have covered the easiest method to write 16/19 + 11 as a fraction and decimal.

Summary: 16/19 plus 11 = 225/19
Since both fractions have unequal denominators, 16/19 plus 11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/19 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 1. 19 is the LCM of 19 and 1. Multiplying the LCM 19 with the numerators and denominators of both fractions (16/19 x 19/19) + (11 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 16/19 is 16/19 and for 11 is 209/19. By simplifying this fraction addition 16/19 + 209/19, it becomes 225/19.

CALCULATION: 16/19 + 11 as a fraction
16/19 + 11 = (?)
16/19 + 11/1 = [(16 x 1) + (11 x 19)]/(19 x 1)
= (16 + 209)/19
= 225/19
16/19 + 11 = 225/19
16/19 plus 11 as a fraction is 225/19.

where
16/19 is a proper fraction as an addend,
11 is a whole number as an addend,
225/19 is the sum of 16/19 and 11.

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16/19 plus 11 as a decimal
16/19 + 11 = 225/19
225/19 = 11.8421
(16/19) + (11) as a decimal is 11.8421

where
11.8421 is the sum of 16/19 and 11.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/19 and 11 by adding fraction to a whole number . The sum in fraction form for 16/19 plus 11/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/19) + (11) using LCM Method:
What is 16/19 plus 11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/19
Fraction B: 11/1

What to be found?
(16/19) + (11) = ?
Find what's the sum of 16/19 and 11.

step 2 Compare the denominators of fractions 16/19 and 11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/19 and 11 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 16/19 and 11:
The LCM of 19 and 1 is 19.

step 4 Write the fractions 16/19 and 11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/19 + 11
= [(16 x 19)/(19 x 19)] + [(11 x 19)/(1 x 19)]

step 5 Simplify the expression to have common denominator:
= 16/19 + 209/19

step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (16/1 + 209/1)
= 1/19 x (16 + 209)

step 7Simplify the above expression further:
= 1/19 x 225
= 225/19
16/19 + 11 = 225/19

Hence,
16/19 plus 11 as a fraction is 225/19.

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16/19 + 11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/19
Fraction B: 11/1

What to be found?
(16/19)+(11) = ?
Find what's the sum of 16/19 and 11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (11 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 1) and rewrite the equation as like the below:
= (16 x 1) + (11 x 19)/(19 x 1)

step 3 Simplify and rewrite the fraction:
= (16 + 209)/19
16/19 + 11 = 225/19

Hence,
16/19 plus 11 in fraction is 225/19