2/8 + 1/22 as a fraction

Learn how to find what is 2/8 plus 1/22 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/22 as a fraction and decimal.

Summary: 2/8 plus 1/22 = 13/44
Since both fractions have unequal denominators, 2/8 plus 1/22 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/22 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 22. 88 is the LCM of 8 and 22. Multiplying the LCM 88 with the numerators and denominators of both fractions (2/8 x 88/88) + (1/22 x 88/88), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 22/88 and for 1/22 is 4/88. By simplifying this fraction addition 22/88 + 4/88, it becomes 26/88.

Pie Chart Representation: 2/8 + 1/22 = 13/44

CALCULATION: 2/8 + 1/22 as a fraction
2/8 + 1/22 = (?)
2/8 + 1/22 = [(2 x 22) + (1 x 8)]/(8 x 22)
= (44 + 8)/176
= 52/176
= (4 x 13)/(4 x 44)
= 13/44
2/8 + 1/22 = 13/44
2/8 plus 1/22 as a fraction is 13/44.

where
2/8 is a proper fraction as an addend,
1/22 is a proper fraction as an addend,
13/44 is the sum of 2/8 and 1/22.

---

2/8 plus 1/22 as a decimal
2/8 + 1/22 = 13/44
13/44 = 0.2955
(2/8) + (1/22) as a decimal is 0.2955

where
0.2955 is the sum of 2/8 and 1/22.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/22 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/22 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/8) + (1/22) using LCM Method:
What is 2/8 plus 1/22 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/22

What to be found?
(2/8) + (1/22) = ?
Find what's the sum of 2/8 and 1/22.

step 2 Compare the denominators of fractions 2/8 and 1/22 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/22 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 2/8 and 1/22:
The LCM of 8 and 22 is 88.

step 4 Write the fractions 2/8 and 1/22 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/22
= [(2 x 88)/(8 x 88)] + [(1 x 88)/(22 x 88)]

step 5 Simplify the expression to have common denominator:
= 22/88 + 4/88

step 6 Take the common values out and rewrite the above expression like the below:
= 1/88 x (22/1 + 4/1)
= 1/88 x (22 + 4)

step 7Simplify the above expression further:
= 1/88 x 26
= 26/88
= 13/44
2/8 + 1/22 = 13/44

Hence,
2/8 plus 1/22 as a fraction is 13/44.

---

2/8 + 1/22 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/22

What to be found?
(2/8)+(1/22) = ?
Find what's the sum of 2/8 and 1/22.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 22), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 22) and rewrite the equation as like the below:
= (2 x 22) + (1 x 8)/(8 x 22)

step 3 Simplify and rewrite the fraction:
= (44 + 8)/176
= 52/176
= 13/44
2/8 + 1/22 = 13/44

Hence,
2/8 plus 1/22 in fraction is 13/44