13/11 + 18 as a fraction

Learn how to find what is 13/11 plus 18 in fraction form just in a few minutes. We have covered the easiest method to write 13/11 + 18 as a fraction and decimal.

Summary: 13/11 plus 18 = 211/11
Since both fractions have unequal denominators, 13/11 plus 18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/11 and fraction 18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 11 and 1. 11 is the LCM of 11 and 1. Multiplying the LCM 11 with the numerators and denominators of both fractions (13/11 x 11/11) + (18 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 13/11 is 13/11 and for 18 is 198/11. By simplifying this fraction addition 13/11 + 198/11, it becomes 211/11.

CALCULATION: 13/11 + 18 as a fraction
13/11 + 18 = (?)
13/11 + 18/1 = [(13 x 1) + (18 x 11)]/(11 x 1)
= (13 + 198)/11
= 211/11
13/11 + 18 = 211/11
13/11 plus 18 as a fraction is 211/11.

where
13/11 is a improper fraction as an addend,
18 is a whole number as an addend,
211/11 is the sum of 13/11 and 18.

---

13/11 plus 18 as a decimal
13/11 + 18 = 211/11
211/11 = 19.1818
(13/11) + (18) as a decimal is 19.1818

where
19.1818 is the sum of 13/11 and 18.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/11 and 18 by adding fraction to a whole number . The sum in fraction form for 13/11 plus 18/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/11) + (18) using LCM Method:
What is 13/11 plus 18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/11
Fraction B: 18/1

What to be found?
(13/11) + (18) = ?
Find what's the sum of 13/11 and 18.

step 2 Compare the denominators of fractions 13/11 and 18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/11 and 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 13/11 and 18:
The LCM of 11 and 1 is 11.

step 4 Write the fractions 13/11 and 18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/11 + 18
= [(13 x 11)/(11 x 11)] + [(18 x 11)/(1 x 11)]

step 5 Simplify the expression to have common denominator:
= 13/11 + 198/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (13/1 + 198/1)
= 1/11 x (13 + 198)

step 7Simplify the above expression further:
= 1/11 x 211
= 211/11
13/11 + 18 = 211/11

Hence,
13/11 plus 18 as a fraction is 211/11.

---

13/11 + 18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/11
Fraction B: 18/1

What to be found?
(13/11)+(18) = ?
Find what's the sum of 13/11 and 18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 11), and find the product of both denominators of Fraction A and Fraction B (11 x 1) and rewrite the equation as like the below:
= (13 x 1) + (18 x 11)/(11 x 1)

step 3 Simplify and rewrite the fraction:
= (13 + 198)/11
13/11 + 18 = 211/11

Hence,
13/11 plus 18 in fraction is 211/11