11/10 + 12/13 as a fraction

Learn how to find what is 11/10 plus 12/13 in fraction form just in a few minutes. We have covered the easiest method to write 11/10 + 12/13 as a fraction and decimal.

Summary: 11/10 plus 12/13 = 263/130
Since both fractions have unequal denominators, 11/10 plus 12/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/10 and fraction 12/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 10 and 13. 130 is the LCM of 10 and 13. Multiplying the LCM 130 with the numerators and denominators of both fractions (11/10 x 130/130) + (12/13 x 130/130), and simplify further in order to have the common denominator. So the equivalent fraction for 11/10 is 143/130 and for 12/13 is 120/130. By simplifying this fraction addition 143/130 + 120/130, it becomes 263/130.

CALCULATION: 11/10 + 12/13 as a fraction
11/10 + 12/13 = (?)
11/10 + 12/13 = [(11 x 13) + (12 x 10)]/(10 x 13)
= (143 + 120)/130
= 263/130
11/10 + 12/13 = 263/130
11/10 plus 12/13 as a fraction is 263/130.

where
11/10 is a improper fraction as an addend,
12/13 is a proper fraction as an addend,
263/130 is the sum of 11/10 and 12/13.

---

11/10 plus 12/13 as a decimal
11/10 + 12/13 = 263/130
263/130 = 2.0231
(11/10) + (12/13) as a decimal is 2.0231

where
2.0231 is the sum of 11/10 and 12/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/10 and 12/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/10 plus 12/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/10) + (12/13) using LCM Method:
What is 11/10 plus 12/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/10
Fraction B: 12/13

What to be found?
(11/10) + (12/13) = ?
Find what's the sum of 11/10 and 12/13.

step 2 Compare the denominators of fractions 11/10 and 12/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/10 and 12/13 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 11/10 and 12/13:
The LCM of 10 and 13 is 130.

step 4 Write the fractions 11/10 and 12/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/10 + 12/13
= [(11 x 130)/(10 x 130)] + [(12 x 130)/(13 x 130)]

step 5 Simplify the expression to have common denominator:
= 143/130 + 120/130

step 6 Take the common values out and rewrite the above expression like the below:
= 1/130 x (143/1 + 120/1)
= 1/130 x (143 + 120)

step 7Simplify the above expression further:
= 1/130 x 263
= 263/130
11/10 + 12/13 = 263/130

Hence,
11/10 plus 12/13 as a fraction is 263/130.

---

11/10 + 12/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/10
Fraction B: 12/13

What to be found?
(11/10)+(12/13) = ?
Find what's the sum of 11/10 and 12/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 13), find the product of numerator of Fraction B and denominator of Fraction A (12 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 13) and rewrite the equation as like the below:
= (11 x 13) + (12 x 10)/(10 x 13)

step 3 Simplify and rewrite the fraction:
= (143 + 120)/130
11/10 + 12/13 = 263/130

Hence,
11/10 plus 12/13 in fraction is 263/130