13/3 + 12/17 as a fraction

Learn how to find what is 13/3 plus 12/17 in fraction form just in a few minutes. We have covered the easiest method to write 13/3 + 12/17 as a fraction and decimal.

Summary: 13/3 plus 12/17 = 257/51
Since both fractions have unequal denominators, 13/3 plus 12/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 12/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 17. 51 is the LCM of 3 and 17. Multiplying the LCM 51 with the numerators and denominators of both fractions (13/3 x 51/51) + (12/17 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 221/51 and for 12/17 is 36/51. By simplifying this fraction addition 221/51 + 36/51, it becomes 257/51.

CALCULATION: 13/3 + 12/17 as a fraction
13/3 + 12/17 = (?)
13/3 + 12/17 = [(13 x 17) + (12 x 3)]/(3 x 17)
= (221 + 36)/51
= 257/51
13/3 + 12/17 = 257/51
13/3 plus 12/17 as a fraction is 257/51.

where
13/3 is a improper fraction as an addend,
12/17 is a proper fraction as an addend,
257/51 is the sum of 13/3 and 12/17.

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13/3 plus 12/17 as a decimal
13/3 + 12/17 = 257/51
257/51 = 5.0392
(13/3) + (12/17) as a decimal is 5.0392

where
5.0392 is the sum of 13/3 and 12/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/3 and 12/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/3 plus 12/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/3) + (12/17) using LCM Method:
What is 13/3 plus 12/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 12/17

What to be found?
(13/3) + (12/17) = ?
Find what's the sum of 13/3 and 12/17.

step 2 Compare the denominators of fractions 13/3 and 12/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/3 and 12/17 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 13/3 and 12/17:
The LCM of 3 and 17 is 51.

step 4 Write the fractions 13/3 and 12/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 + 12/17
= [(13 x 51)/(3 x 51)] + [(12 x 51)/(17 x 51)]

step 5 Simplify the expression to have common denominator:
= 221/51 + 36/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (221/1 + 36/1)
= 1/51 x (221 + 36)

step 7Simplify the above expression further:
= 1/51 x 257
= 257/51
13/3 + 12/17 = 257/51

Hence,
13/3 plus 12/17 as a fraction is 257/51.

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13/3 + 12/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/3
Fraction B: 12/17

What to be found?
(13/3)+(12/17) = ?
Find what's the sum of 13/3 and 12/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 17), find the product of numerator of Fraction B and denominator of Fraction A (12 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 17) and rewrite the equation as like the below:
= (13 x 17) + (12 x 3)/(3 x 17)

step 3 Simplify and rewrite the fraction:
= (221 + 36)/51
13/3 + 12/17 = 257/51

Hence,
13/3 plus 12/17 in fraction is 257/51