2/9 + 1/29 as a fraction

Learn how to find what is 2/9 plus 1/29 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/29 as a fraction and decimal.

Summary: 2/9 plus 1/29 = 67/261
Since both fractions have unequal denominators, 2/9 plus 1/29 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/29 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 29. 261 is the LCM of 9 and 29. Multiplying the LCM 261 with the numerators and denominators of both fractions (2/9 x 261/261) + (1/29 x 261/261), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 58/261 and for 1/29 is 9/261. By simplifying this fraction addition 58/261 + 9/261, it becomes 67/261.

Pie Chart Representation: 2/9 + 1/29 = 67/261

CALCULATION: 2/9 + 1/29 as a fraction
2/9 + 1/29 = (?)
2/9 + 1/29 = [(2 x 29) + (1 x 9)]/(9 x 29)
= (58 + 9)/261
= 67/261
2/9 + 1/29 = 67/261
2/9 plus 1/29 as a fraction is 67/261.

where
2/9 is a proper fraction as an addend,
1/29 is a proper fraction as an addend,
67/261 is the sum of 2/9 and 1/29.

---

2/9 plus 1/29 as a decimal
2/9 + 1/29 = 67/261
67/261 = 0.2567
(2/9) + (1/29) as a decimal is 0.2567

where
0.2567 is the sum of 2/9 and 1/29.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/29 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/29 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/29) using LCM Method:
What is 2/9 plus 1/29 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/29

What to be found?
(2/9) + (1/29) = ?
Find what's the sum of 2/9 and 1/29.

step 2 Compare the denominators of fractions 2/9 and 1/29 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/29 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 2/9 and 1/29:
The LCM of 9 and 29 is 261.

step 4 Write the fractions 2/9 and 1/29 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/29
= [(2 x 261)/(9 x 261)] + [(1 x 261)/(29 x 261)]

step 5 Simplify the expression to have common denominator:
= 58/261 + 9/261

step 6 Take the common values out and rewrite the above expression like the below:
= 1/261 x (58/1 + 9/1)
= 1/261 x (58 + 9)

step 7Simplify the above expression further:
= 1/261 x 67
= 67/261
2/9 + 1/29 = 67/261

Hence,
2/9 plus 1/29 as a fraction is 67/261.

---

2/9 + 1/29 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/29

What to be found?
(2/9)+(1/29) = ?
Find what's the sum of 2/9 and 1/29.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 29), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 29) and rewrite the equation as like the below:
= (2 x 29) + (1 x 9)/(9 x 29)

step 3 Simplify and rewrite the fraction:
= (58 + 9)/261
2/9 + 1/29 = 67/261

Hence,
2/9 plus 1/29 in fraction is 67/261