16/13 + 18/19 as a fraction

Learn how to find what is 16/13 plus 18/19 in fraction form just in a few minutes. We have covered the easiest method to write 16/13 + 18/19 as a fraction and decimal.

Summary: 16/13 plus 18/19 = 538/247
Since both fractions have unequal denominators, 16/13 plus 18/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/13 and fraction 18/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 19. 247 is the LCM of 13 and 19. Multiplying the LCM 247 with the numerators and denominators of both fractions (16/13 x 247/247) + (18/19 x 247/247), and simplify further in order to have the common denominator. So the equivalent fraction for 16/13 is 304/247 and for 18/19 is 234/247. By simplifying this fraction addition 304/247 + 234/247, it becomes 538/247.

CALCULATION: 16/13 + 18/19 as a fraction
16/13 + 18/19 = (?)
16/13 + 18/19 = [(16 x 19) + (18 x 13)]/(13 x 19)
= (304 + 234)/247
= 538/247
16/13 + 18/19 = 538/247
16/13 plus 18/19 as a fraction is 538/247.

where
16/13 is a improper fraction as an addend,
18/19 is a proper fraction as an addend,
538/247 is the sum of 16/13 and 18/19.

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16/13 plus 18/19 as a decimal
16/13 + 18/19 = 538/247
538/247 = 2.1781
(16/13) + (18/19) as a decimal is 2.1781

where
2.1781 is the sum of 16/13 and 18/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/13 and 18/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/13 plus 18/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/13) + (18/19) using LCM Method:
What is 16/13 plus 18/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/13
Fraction B: 18/19

What to be found?
(16/13) + (18/19) = ?
Find what's the sum of 16/13 and 18/19.

step 2 Compare the denominators of fractions 16/13 and 18/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/13 and 18/19 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 16/13 and 18/19:
The LCM of 13 and 19 is 247.

step 4 Write the fractions 16/13 and 18/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/13 + 18/19
= [(16 x 247)/(13 x 247)] + [(18 x 247)/(19 x 247)]

step 5 Simplify the expression to have common denominator:
= 304/247 + 234/247

step 6 Take the common values out and rewrite the above expression like the below:
= 1/247 x (304/1 + 234/1)
= 1/247 x (304 + 234)

step 7Simplify the above expression further:
= 1/247 x 538
= 538/247
16/13 + 18/19 = 538/247

Hence,
16/13 plus 18/19 as a fraction is 538/247.

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16/13 + 18/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/13
Fraction B: 18/19

What to be found?
(16/13)+(18/19) = ?
Find what's the sum of 16/13 and 18/19.

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 (18 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 19) and rewrite the equation as like the below:
= (16 x 19) + (18 x 13)/(13 x 19)

step 3 Simplify and rewrite the fraction:
= (304 + 234)/247
16/13 + 18/19 = 538/247

Hence,
16/13 plus 18/19 in fraction is 538/247