2/9 + 1/76 as a fraction

Learn how to find what is 2/9 plus 1/76 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/76 as a fraction and decimal.

Summary: 2/9 plus 1/76 = 161/684
Since both fractions have unequal denominators, 2/9 plus 1/76 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/76 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 76. 684 is the LCM of 9 and 76. Multiplying the LCM 684 with the numerators and denominators of both fractions (2/9 x 684/684) + (1/76 x 684/684), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 152/684 and for 1/76 is 9/684. By simplifying this fraction addition 152/684 + 9/684, it becomes 161/684.

Pie Chart Representation: 2/9 + 1/76 = 161/684

CALCULATION: 2/9 + 1/76 as a fraction
2/9 + 1/76 = (?)
2/9 + 1/76 = [(2 x 76) + (1 x 9)]/(9 x 76)
= (152 + 9)/684
= 161/684
2/9 + 1/76 = 161/684
2/9 plus 1/76 as a fraction is 161/684.

where
2/9 is a proper fraction as an addend,
1/76 is a proper fraction as an addend,
161/684 is the sum of 2/9 and 1/76.

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2/9 plus 1/76 as a decimal
2/9 + 1/76 = 161/684
161/684 = 0.2354
(2/9) + (1/76) as a decimal is 0.2354

where
0.2354 is the sum of 2/9 and 1/76.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/76 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/76 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/76) using LCM Method:
What is 2/9 plus 1/76 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/76

What to be found?
(2/9) + (1/76) = ?
Find what's the sum of 2/9 and 1/76.

step 2 Compare the denominators of fractions 2/9 and 1/76 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/76 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 1/76:
The LCM of 9 and 76 is 684.

step 4 Write the fractions 2/9 and 1/76 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/76
= [(2 x 684)/(9 x 684)] + [(1 x 684)/(76 x 684)]

step 5 Simplify the expression to have common denominator:
= 152/684 + 9/684

step 6 Take the common values out and rewrite the above expression like the below:
= 1/684 x (152/1 + 9/1)
= 1/684 x (152 + 9)

step 7Simplify the above expression further:
= 1/684 x 161
= 161/684
2/9 + 1/76 = 161/684

Hence,
2/9 plus 1/76 as a fraction is 161/684.

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2/9 + 1/76 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/76

What to be found?
(2/9)+(1/76) = ?
Find what's the sum of 2/9 and 1/76.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 76), 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 76) and rewrite the equation as like the below:
= (2 x 76) + (1 x 9)/(9 x 76)

step 3 Simplify and rewrite the fraction:
= (152 + 9)/684
2/9 + 1/76 = 161/684

Hence,
2/9 plus 1/76 in fraction is 161/684