1/3 + 2/77 as a fraction

Learn how to find what is 1/3 plus 2/77 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/77 as a fraction and decimal.

Summary: 1/3 plus 2/77 = 83/231
Since both fractions have unequal denominators, 1/3 plus 2/77 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/77 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 77. 231 is the LCM of 3 and 77. Multiplying the LCM 231 with the numerators and denominators of both fractions (1/3 x 231/231) + (2/77 x 231/231), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 77/231 and for 2/77 is 6/231. By simplifying this fraction addition 77/231 + 6/231, it becomes 83/231.

Pie Chart Representation: 1/3 + 2/77 = 83/231

CALCULATION: 1/3 + 2/77 as a fraction
1/3 + 2/77 = (?)
1/3 + 2/77 = [(1 x 77) + (2 x 3)]/(3 x 77)
= (77 + 6)/231
= 83/231
1/3 + 2/77 = 83/231
1/3 plus 2/77 as a fraction is 83/231.

where
1/3 is a proper fraction as an addend,
2/77 is a proper fraction as an addend,
83/231 is the sum of 1/3 and 2/77.

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1/3 plus 2/77 as a decimal
1/3 + 2/77 = 83/231
83/231 = 0.3593
(1/3) + (2/77) as a decimal is 0.3593

where
0.3593 is the sum of 1/3 and 2/77.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/77 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/77 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/77) using LCM Method:
What is 1/3 plus 2/77 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/77

What to be found?
(1/3) + (2/77) = ?
Find what's the sum of 1/3 and 2/77.

step 2 Compare the denominators of fractions 1/3 and 2/77 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/77 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 2/77:
The LCM of 3 and 77 is 231.

step 4 Write the fractions 1/3 and 2/77 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/77
= [(1 x 231)/(3 x 231)] + [(2 x 231)/(77 x 231)]

step 5 Simplify the expression to have common denominator:
= 77/231 + 6/231

step 6 Take the common values out and rewrite the above expression like the below:
= 1/231 x (77/1 + 6/1)
= 1/231 x (77 + 6)

step 7Simplify the above expression further:
= 1/231 x 83
= 83/231
1/3 + 2/77 = 83/231

Hence,
1/3 plus 2/77 as a fraction is 83/231.

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1/3 + 2/77 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/77

What to be found?
(1/3)+(2/77) = ?
Find what's the sum of 1/3 and 2/77.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 77), 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 77) and rewrite the equation as like the below:
= (1 x 77) + (2 x 3)/(3 x 77)

step 3 Simplify and rewrite the fraction:
= (77 + 6)/231
1/3 + 2/77 = 83/231

Hence,
1/3 plus 2/77 in fraction is 83/231