6/5 + 11 as a fraction

Learn how to find what is 6/5 plus 11 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 11 as a fraction and decimal.

Summary: 6/5 plus 11 = 61/5
Since both fractions have unequal denominators, 6/5 plus 11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (6/5 x 5/5) + (11 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 6/5 and for 11 is 55/5. By simplifying this fraction addition 6/5 + 55/5, it becomes 61/5.

CALCULATION: 6/5 + 11 as a fraction
6/5 + 11 = (?)
6/5 + 11/1 = [(6 x 1) + (11 x 5)]/(5 x 1)
= (6 + 55)/5
= 61/5
6/5 + 11 = 61/5
6/5 plus 11 as a fraction is 61/5.

where
6/5 is a improper fraction as an addend,
11 is a whole number as an addend,
61/5 is the sum of 6/5 and 11.

---

6/5 plus 11 as a decimal
6/5 + 11 = 61/5
61/5 = 12.2
(6/5) + (11) as a decimal is 12.2

where
12.2 is the sum of 6/5 and 11.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 11 by adding fraction to a whole number . The sum in fraction form for 6/5 plus 11/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (11) using LCM Method:
What is 6/5 plus 11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 11/1

What to be found?
(6/5) + (11) = ?
Find what's the sum of 6/5 and 11.

step 2 Compare the denominators of fractions 6/5 and 11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 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 6/5 and 11:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 6/5 and 11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 11
= [(6 x 5)/(5 x 5)] + [(11 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 6/5 + 55/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (6/1 + 55/1)
= 1/5 x (6 + 55)

step 7Simplify the above expression further:
= 1/5 x 61
= 61/5
6/5 + 11 = 61/5

Hence,
6/5 plus 11 as a fraction is 61/5.

---

6/5 + 11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 11/1

What to be found?
(6/5)+(11) = ?
Find what's the sum of 6/5 and 11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 1), find the product of numerator of Fraction B and denominator of Fraction A (11 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (6 x 1) + (11 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (6 + 55)/5
6/5 + 11 = 61/5

Hence,
6/5 plus 11 in fraction is 61/5