2/7 + 1/77 as a fraction

Learn how to find what is 2/7 plus 1/77 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/77 as a fraction and decimal.

Summary: 2/7 plus 1/77 = 23/77
Since both fractions have unequal denominators, 2/7 plus 1/77 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/77 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 77. 77 is the LCM of 7 and 77. Multiplying the LCM 77 with the numerators and denominators of both fractions (2/7 x 77/77) + (1/77 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 22/77 and for 1/77 is 1/77. By simplifying this fraction addition 22/77 + 1/77, it becomes 23/77.

Pie Chart Representation: 2/7 + 1/77 = 23/77

CALCULATION: 2/7 + 1/77 as a fraction
2/7 + 1/77 = (?)
2/7 + 1/77 = [(2 x 77) + (1 x 7)]/(7 x 77)
= (154 + 7)/539
= 161/539
= (7 x 23)/(7 x 77)
= 23/77
2/7 + 1/77 = 23/77
2/7 plus 1/77 as a fraction is 23/77.

where
2/7 is a proper fraction as an addend,
1/77 is a proper fraction as an addend,
23/77 is the sum of 2/7 and 1/77.

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2/7 plus 1/77 as a decimal
2/7 + 1/77 = 23/77
23/77 = 0.2987
(2/7) + (1/77) as a decimal is 0.2987

where
0.2987 is the sum of 2/7 and 1/77.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/77 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/77 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/77) using LCM Method:
What is 2/7 plus 1/77 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/77

What to be found?
(2/7) + (1/77) = ?
Find what's the sum of 2/7 and 1/77.

step 2 Compare the denominators of fractions 2/7 and 1/77 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/77 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 2/7 and 1/77:
The LCM of 7 and 77 is 77.

step 4 Write the fractions 2/7 and 1/77 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/77
= [(2 x 77)/(7 x 77)] + [(1 x 77)/(77 x 77)]

step 5 Simplify the expression to have common denominator:
= 22/77 + 1/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (22/1 + 1/1)
= 1/77 x (22 + 1)

step 7Simplify the above expression further:
= 1/77 x 23
= 23/77
2/7 + 1/77 = 23/77

Hence,
2/7 plus 1/77 as a fraction is 23/77.

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2/7 + 1/77 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/77

What to be found?
(2/7)+(1/77) = ?
Find what's the sum of 2/7 and 1/77.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 77), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 77) and rewrite the equation as like the below:
= (2 x 77) + (1 x 7)/(7 x 77)

step 3 Simplify and rewrite the fraction:
= (154 + 7)/539
= 161/539
= 23/77
2/7 + 1/77 = 23/77

Hence,
2/7 plus 1/77 in fraction is 23/77