17/19 + 4/13 as a fraction

Learn how to find what is 17/19 plus 4/13 in fraction form just in a few minutes. We have covered the easiest method to write 17/19 + 4/13 as a fraction and decimal.

Summary: 17/19 plus 4/13 = 297/247
Since both fractions have unequal denominators, 17/19 plus 4/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/19 and fraction 4/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 13. 247 is the LCM of 19 and 13. Multiplying the LCM 247 with the numerators and denominators of both fractions (17/19 x 247/247) + (4/13 x 247/247), and simplify further in order to have the common denominator. So the equivalent fraction for 17/19 is 221/247 and for 4/13 is 76/247. By simplifying this fraction addition 221/247 + 76/247, it becomes 297/247.

CALCULATION: 17/19 + 4/13 as a fraction
17/19 + 4/13 = (?)
17/19 + 4/13 = [(17 x 13) + (4 x 19)]/(19 x 13)
= (221 + 76)/247
= 297/247
17/19 + 4/13 = 297/247
17/19 plus 4/13 as a fraction is 297/247.

where
17/19 is a proper fraction as an addend,
4/13 is a proper fraction as an addend,
297/247 is the sum of 17/19 and 4/13.

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17/19 plus 4/13 as a decimal
17/19 + 4/13 = 297/247
297/247 = 1.2024
(17/19) + (4/13) as a decimal is 1.2024

where
1.2024 is the sum of 17/19 and 4/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/19 and 4/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/19 plus 4/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/19) + (4/13) using LCM Method:
What is 17/19 plus 4/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/19
Fraction B: 4/13

What to be found?
(17/19) + (4/13) = ?
Find what's the sum of 17/19 and 4/13.

step 2 Compare the denominators of fractions 17/19 and 4/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/19 and 4/13 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 17/19 and 4/13:
The LCM of 19 and 13 is 247.

step 4 Write the fractions 17/19 and 4/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/19 + 4/13
= [(17 x 247)/(19 x 247)] + [(4 x 247)/(13 x 247)]

step 5 Simplify the expression to have common denominator:
= 221/247 + 76/247

step 6 Take the common values out and rewrite the above expression like the below:
= 1/247 x (221/1 + 76/1)
= 1/247 x (221 + 76)

step 7Simplify the above expression further:
= 1/247 x 297
= 297/247
17/19 + 4/13 = 297/247

Hence,
17/19 plus 4/13 as a fraction is 297/247.

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17/19 + 4/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/19
Fraction B: 4/13

What to be found?
(17/19)+(4/13) = ?
Find what's the sum of 17/19 and 4/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 13), find the product of numerator of Fraction B and denominator of Fraction A (4 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 13) and rewrite the equation as like the below:
= (17 x 13) + (4 x 19)/(19 x 13)

step 3 Simplify and rewrite the fraction:
= (221 + 76)/247
17/19 + 4/13 = 297/247

Hence,
17/19 plus 4/13 in fraction is 297/247