2/22 + 1/69 as a fraction

Learn how to find what is 2/22 plus 1/69 in fraction form just in a few minutes. We have covered the easiest method to write 2/22 + 1/69 as a fraction and decimal.

Summary: 2/22 plus 1/69 = 80/759
Since both fractions have unequal denominators, 2/22 plus 1/69 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/22 and fraction 1/69 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 22 and 69. 1518 is the LCM of 22 and 69. Multiplying the LCM 1518 with the numerators and denominators of both fractions (2/22 x 1518/1518) + (1/69 x 1518/1518), and simplify further in order to have the common denominator. So the equivalent fraction for 2/22 is 138/1518 and for 1/69 is 22/1518. By simplifying this fraction addition 138/1518 + 22/1518, it becomes 160/1518.

Pie Chart Representation: 2/22 + 1/69 = 80/759

CALCULATION: 2/22 + 1/69 as a fraction
2/22 + 1/69 = (?)
2/22 + 1/69 = [(2 x 69) + (1 x 22)]/(22 x 69)
= (138 + 22)/1518
= 160/1518
= (2 x 80)/(2 x 759)
= 80/759
2/22 + 1/69 = 80/759
2/22 plus 1/69 as a fraction is 80/759.

where
2/22 is a proper fraction as an addend,
1/69 is a proper fraction as an addend,
80/759 is the sum of 2/22 and 1/69.

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2/22 plus 1/69 as a decimal
2/22 + 1/69 = 80/759
80/759 = 0.1054
(2/22) + (1/69) as a decimal is 0.1054

where
0.1054 is the sum of 2/22 and 1/69.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/22 and 1/69 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/22 plus 1/69 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/22) + (1/69) using LCM Method:
What is 2/22 plus 1/69 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/22
Fraction B: 1/69

What to be found?
(2/22) + (1/69) = ?
Find what's the sum of 2/22 and 1/69.

step 2 Compare the denominators of fractions 2/22 and 1/69 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/22 and 1/69 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 2/22 and 1/69:
The LCM of 22 and 69 is 1518.

step 4 Write the fractions 2/22 and 1/69 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/22 + 1/69
= [(2 x 1518)/(22 x 1518)] + [(1 x 1518)/(69 x 1518)]

step 5 Simplify the expression to have common denominator:
= 138/1518 + 22/1518

step 6 Take the common values out and rewrite the above expression like the below:
= 1/1518 x (138/1 + 22/1)
= 1/1518 x (138 + 22)

step 7Simplify the above expression further:
= 1/1518 x 160
= 160/1518
= 80/759
2/22 + 1/69 = 80/759

Hence,
2/22 plus 1/69 as a fraction is 80/759.

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2/22 + 1/69 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/22
Fraction B: 1/69

What to be found?
(2/22)+(1/69) = ?
Find what's the sum of 2/22 and 1/69.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 69), find the product of numerator of Fraction B and denominator of Fraction A (1 x 22), and find the product of both denominators of Fraction A and Fraction B (22 x 69) and rewrite the equation as like the below:
= (2 x 69) + (1 x 22)/(22 x 69)

step 3 Simplify and rewrite the fraction:
= (138 + 22)/1518
= 160/1518
= 80/759
2/22 + 1/69 = 80/759

Hence,
2/22 plus 1/69 in fraction is 80/759