1/3 + 2/76 as a fraction

Learn how to find what is 1/3 plus 2/76 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/76 as a fraction and decimal.

Summary: 1/3 plus 2/76 = 41/114
Since both fractions have unequal denominators, 1/3 plus 2/76 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/76 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 76. 228 is the LCM of 3 and 76. Multiplying the LCM 228 with the numerators and denominators of both fractions (1/3 x 228/228) + (2/76 x 228/228), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 76/228 and for 2/76 is 6/228. By simplifying this fraction addition 76/228 + 6/228, it becomes 82/228.

Pie Chart Representation: 1/3 + 2/76 = 41/114

CALCULATION: 1/3 + 2/76 as a fraction
1/3 + 2/76 = (?)
1/3 + 2/76 = [(1 x 76) + (2 x 3)]/(3 x 76)
= (76 + 6)/228
= 82/228
= (2 x 41)/(2 x 114)
= 41/114
1/3 + 2/76 = 41/114
1/3 plus 2/76 as a fraction is 41/114.

where
1/3 is a proper fraction as an addend,
2/76 is a proper fraction as an addend,
41/114 is the sum of 1/3 and 2/76.

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1/3 plus 2/76 as a decimal
1/3 + 2/76 = 41/114
41/114 = 0.3596
(1/3) + (2/76) as a decimal is 0.3596

where
0.3596 is the sum of 1/3 and 2/76.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/76 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/76 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/76) using LCM Method:
What is 1/3 plus 2/76 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/76

What to be found?
(1/3) + (2/76) = ?
Find what's the sum of 1/3 and 2/76.

step 2 Compare the denominators of fractions 1/3 and 2/76 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 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 1/3 and 2/76:
The LCM of 3 and 76 is 228.

step 4 Write the fractions 1/3 and 2/76 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/76
= [(1 x 228)/(3 x 228)] + [(2 x 228)/(76 x 228)]

step 5 Simplify the expression to have common denominator:
= 76/228 + 6/228

step 6 Take the common values out and rewrite the above expression like the below:
= 1/228 x (76/1 + 6/1)
= 1/228 x (76 + 6)

step 7Simplify the above expression further:
= 1/228 x 82
= 82/228
= 41/114
1/3 + 2/76 = 41/114

Hence,
1/3 plus 2/76 as a fraction is 41/114.

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1/3 + 2/76 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/76

What to be found?
(1/3)+(2/76) = ?
Find what's the sum of 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 76) and rewrite the equation as like the below:
= (1 x 76) + (2 x 3)/(3 x 76)

step 3 Simplify and rewrite the fraction:
= (76 + 6)/228
= 82/228
= 41/114
1/3 + 2/76 = 41/114

Hence,
1/3 plus 2/76 in fraction is 41/114