2/9 + 1/69 as a fraction

Learn how to find what is 2/9 plus 1/69 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/69 as a fraction and decimal.

Summary: 2/9 plus 1/69 = 49/207
Since both fractions have unequal denominators, 2/9 plus 1/69 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/69 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 69. 207 is the LCM of 9 and 69. Multiplying the LCM 207 with the numerators and denominators of both fractions (2/9 x 207/207) + (1/69 x 207/207), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 46/207 and for 1/69 is 3/207. By simplifying this fraction addition 46/207 + 3/207, it becomes 49/207.

Pie Chart Representation: 2/9 + 1/69 = 49/207

CALCULATION: 2/9 + 1/69 as a fraction
2/9 + 1/69 = (?)
2/9 + 1/69 = [(2 x 69) + (1 x 9)]/(9 x 69)
= (138 + 9)/621
= 147/621
= (3 x 49)/(3 x 207)
= 49/207
2/9 + 1/69 = 49/207
2/9 plus 1/69 as a fraction is 49/207.

where
2/9 is a proper fraction as an addend,
1/69 is a proper fraction as an addend,
49/207 is the sum of 2/9 and 1/69.

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2/9 plus 1/69 as a decimal
2/9 + 1/69 = 49/207
49/207 = 0.2367
(2/9) + (1/69) as a decimal is 0.2367

where
0.2367 is the sum of 2/9 and 1/69.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/69 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/69 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/69) using LCM Method:
What is 2/9 plus 1/69 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/69

What to be found?
(2/9) + (1/69) = ?
Find what's the sum of 2/9 and 1/69.

step 2 Compare the denominators of fractions 2/9 and 1/69 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/69:
The LCM of 9 and 69 is 207.

step 4 Write the fractions 2/9 and 1/69 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/69
= [(2 x 207)/(9 x 207)] + [(1 x 207)/(69 x 207)]

step 5 Simplify the expression to have common denominator:
= 46/207 + 3/207

step 6 Take the common values out and rewrite the above expression like the below:
= 1/207 x (46/1 + 3/1)
= 1/207 x (46 + 3)

step 7Simplify the above expression further:
= 1/207 x 49
= 49/207
2/9 + 1/69 = 49/207

Hence,
2/9 plus 1/69 as a fraction is 49/207.

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2/9 + 1/69 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/69

What to be found?
(2/9)+(1/69) = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 69) and rewrite the equation as like the below:
= (2 x 69) + (1 x 9)/(9 x 69)

step 3 Simplify and rewrite the fraction:
= (138 + 9)/621
= 147/621
= 49/207
2/9 + 1/69 = 49/207

Hence,
2/9 plus 1/69 in fraction is 49/207