15/1 + 5/11 as a fraction

Learn how to find what is 15/1 plus 5/11 in fraction form just in a few minutes. We have covered the easiest method to write 15/1 + 5/11 as a fraction and decimal.

Summary: 15/1 plus 5/11 = 170/11
Since both fractions have unequal denominators, 15/1 plus 5/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/1 and fraction 5/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (15/1 x 11/11) + (5/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 15/1 is 165/11 and for 5/11 is 5/11. By simplifying this fraction addition 165/11 + 5/11, it becomes 170/11.

CALCULATION: 15/1 + 5/11 as a fraction
15/1 + 5/11 = (?)
15/1 + 5/11 = [(15 x 11) + (5 x 1)]/(1 x 11)
= (165 + 5)/11
= 170/11
15/1 + 5/11 = 170/11
15/1 plus 5/11 as a fraction is 170/11.

where
15/1 is a improper fraction as an addend,
5/11 is a proper fraction as an addend,
170/11 is the sum of 15/1 and 5/11.

---

15/1 plus 5/11 as a decimal
15/1 + 5/11 = 170/11
170/11 = 15.4545
(15/1) + (5/11) as a decimal is 15.4545

where
15.4545 is the sum of 15/1 and 5/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/1 and 5/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/1 plus 5/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/1) + (5/11) using LCM Method:
What is 15/1 plus 5/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 5/11

What to be found?
(15/1) + (5/11) = ?
Find what's the sum of 15/1 and 5/11.

step 2 Compare the denominators of fractions 15/1 and 5/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/1 and 5/11 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 15/1 and 5/11:
The LCM of 1 and 11 is 11.

step 4 Write the fractions 15/1 and 5/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/1 + 5/11
= [(15 x 11)/(1 x 11)] + [(5 x 11)/(11 x 11)]

step 5 Simplify the expression to have common denominator:
= 165/11 + 5/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (165/1 + 5/1)
= 1/11 x (165 + 5)

step 7Simplify the above expression further:
= 1/11 x 170
= 170/11
15/1 + 5/11 = 170/11

Hence,
15/1 plus 5/11 as a fraction is 170/11.

---

15/1 + 5/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 5/11

What to be found?
(15/1)+(5/11) = ?
Find what's the sum of 15/1 and 5/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 11), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (15 x 11) + (5 x 1)/(1 x 11)

step 3 Simplify and rewrite the fraction:
= (165 + 5)/11
15/1 + 5/11 = 170/11

Hence,
15/1 plus 5/11 in fraction is 170/11