13/4 + 7/18 as a fraction

Learn how to find what is 13/4 plus 7/18 in fraction form just in a few minutes. We have covered the easiest method to write 13/4 + 7/18 as a fraction and decimal.

Summary: 13/4 plus 7/18 = 131/36
Since both fractions have unequal denominators, 13/4 plus 7/18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/4 and fraction 7/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 18. 36 is the LCM of 4 and 18. Multiplying the LCM 36 with the numerators and denominators of both fractions (13/4 x 36/36) + (7/18 x 36/36), and simplify further in order to have the common denominator. So the equivalent fraction for 13/4 is 117/36 and for 7/18 is 14/36. By simplifying this fraction addition 117/36 + 14/36, it becomes 131/36.

CALCULATION: 13/4 + 7/18 as a fraction
13/4 + 7/18 = (?)
13/4 + 7/18 = [(13 x 18) + (7 x 4)]/(4 x 18)
= (234 + 28)/72
= 262/72
= (2 x 131)/(2 x 36)
= 131/36
13/4 + 7/18 = 131/36
13/4 plus 7/18 as a fraction is 131/36.

where
13/4 is a improper fraction as an addend,
7/18 is a proper fraction as an addend,
131/36 is the sum of 13/4 and 7/18.

---

13/4 plus 7/18 as a decimal
13/4 + 7/18 = 131/36
131/36 = 3.6389
(13/4) + (7/18) as a decimal is 3.6389

where
3.6389 is the sum of 13/4 and 7/18.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/4 and 7/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/4 plus 7/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/4) + (7/18) using LCM Method:
What is 13/4 plus 7/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 7/18

What to be found?
(13/4) + (7/18) = ?
Find what's the sum of 13/4 and 7/18.

step 2 Compare the denominators of fractions 13/4 and 7/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/4 and 7/18 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 13/4 and 7/18:
The LCM of 4 and 18 is 36.

step 4 Write the fractions 13/4 and 7/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/4 + 7/18
= [(13 x 36)/(4 x 36)] + [(7 x 36)/(18 x 36)]

step 5 Simplify the expression to have common denominator:
= 117/36 + 14/36

step 6 Take the common values out and rewrite the above expression like the below:
= 1/36 x (117/1 + 14/1)
= 1/36 x (117 + 14)

step 7Simplify the above expression further:
= 1/36 x 131
= 131/36
13/4 + 7/18 = 131/36

Hence,
13/4 plus 7/18 as a fraction is 131/36.

---

13/4 + 7/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/4
Fraction B: 7/18

What to be found?
(13/4)+(7/18) = ?
Find what's the sum of 13/4 and 7/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 18), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 18) and rewrite the equation as like the below:
= (13 x 18) + (7 x 4)/(4 x 18)

step 3 Simplify and rewrite the fraction:
= (234 + 28)/72
= 262/72
= 131/36
13/4 + 7/18 = 131/36

Hence,
13/4 plus 7/18 in fraction is 131/36