2/19 + 1/77 as a fraction

Learn how to find what is 2/19 plus 1/77 in fraction form just in a few minutes. We have covered the easiest method to write 2/19 + 1/77 as a fraction and decimal.

Summary: 2/19 plus 1/77 = 173/1463
Since both fractions have unequal denominators, 2/19 plus 1/77 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/19 and fraction 1/77 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 77. 1463 is the LCM of 19 and 77. Multiplying the LCM 1463 with the numerators and denominators of both fractions (2/19 x 1463/1463) + (1/77 x 1463/1463), and simplify further in order to have the common denominator. So the equivalent fraction for 2/19 is 154/1463 and for 1/77 is 19/1463. By simplifying this fraction addition 154/1463 + 19/1463, it becomes 173/1463.

Pie Chart Representation: 2/19 + 1/77 = 173/1463

CALCULATION: 2/19 + 1/77 as a fraction
2/19 + 1/77 = (?)
2/19 + 1/77 = [(2 x 77) + (1 x 19)]/(19 x 77)
= (154 + 19)/1463
= 173/1463
2/19 + 1/77 = 173/1463
2/19 plus 1/77 as a fraction is 173/1463.

where
2/19 is a proper fraction as an addend,
1/77 is a proper fraction as an addend,
173/1463 is the sum of 2/19 and 1/77.

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2/19 plus 1/77 as a decimal
2/19 + 1/77 = 173/1463
173/1463 = 0.1183
(2/19) + (1/77) as a decimal is 0.1183

where
0.1183 is the sum of 2/19 and 1/77.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/19 and 1/77 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/19 plus 1/77 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/19) + (1/77) using LCM Method:
What is 2/19 plus 1/77 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/19
Fraction B: 1/77

What to be found?
(2/19) + (1/77) = ?
Find what's the sum of 2/19 and 1/77.

step 2 Compare the denominators of fractions 2/19 and 1/77 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/19 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 2/19 and 1/77:
The LCM of 19 and 77 is 1463.

step 4 Write the fractions 2/19 and 1/77 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/19 + 1/77
= [(2 x 1463)/(19 x 1463)] + [(1 x 1463)/(77 x 1463)]

step 5 Simplify the expression to have common denominator:
= 154/1463 + 19/1463

step 6 Take the common values out and rewrite the above expression like the below:
= 1/1463 x (154/1 + 19/1)
= 1/1463 x (154 + 19)

step 7Simplify the above expression further:
= 1/1463 x 173
= 173/1463
2/19 + 1/77 = 173/1463

Hence,
2/19 plus 1/77 as a fraction is 173/1463.

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2/19 + 1/77 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/19
Fraction B: 1/77

What to be found?
(2/19)+(1/77) = ?
Find what's the sum of 2/19 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 19), and find the product of both denominators of Fraction A and Fraction B (19 x 77) and rewrite the equation as like the below:
= (2 x 77) + (1 x 19)/(19 x 77)

step 3 Simplify and rewrite the fraction:
= (154 + 19)/1463
2/19 + 1/77 = 173/1463

Hence,
2/19 plus 1/77 in fraction is 173/1463