1/9 + 2/76 as a fraction

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

Summary: 1/9 plus 2/76 = 47/342
Since both fractions have unequal denominators, 1/9 plus 2/76 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/76 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 (1/9 x 684/684) + (2/76 x 684/684), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 76/684 and for 2/76 is 18/684. By simplifying this fraction addition 76/684 + 18/684, it becomes 94/684.

Pie Chart Representation: 1/9 + 2/76 = 47/342

CALCULATION: 1/9 + 2/76 as a fraction
1/9 + 2/76 = (?)
1/9 + 2/76 = [(1 x 76) + (2 x 9)]/(9 x 76)
= (76 + 18)/684
= 94/684
= (2 x 47)/(2 x 342)
= 47/342
1/9 + 2/76 = 47/342
1/9 plus 2/76 as a fraction is 47/342.

where
1/9 is a proper fraction as an addend,
2/76 is a proper fraction as an addend,
47/342 is the sum of 1/9 and 2/76.

---

1/9 plus 2/76 as a decimal
1/9 + 2/76 = 47/342
47/342 = 0.1374
(1/9) + (2/76) as a decimal is 0.1374

where
0.1374 is the sum of 1/9 and 2/76.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 76/684 + 18/684

step 6 Take the common values out and rewrite the above expression like the below:
= 1/684 x (76/1 + 18/1)
= 1/684 x (76 + 18)

step 7Simplify the above expression further:
= 1/684 x 94
= 94/684
= 47/342
1/9 + 2/76 = 47/342

Hence,
1/9 plus 2/76 as a fraction is 47/342.

---

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 76), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 76) + (2 x 9)/(9 x 76)

step 3 Simplify and rewrite the fraction:
= (76 + 18)/684
= 94/684
= 47/342
1/9 + 2/76 = 47/342

Hence,
1/9 plus 2/76 in fraction is 47/342