What is 2/3 + 1/87 in fraction?
2/3 + 1/87 equals to 59/87 in fraction form.
Learn how to find what is 2/3 plus 1/87 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 1/87 as a fraction and decimal.
Summary: 2/3 plus 1/87 = 59/87
Since both fractions have unequal denominators, 2/3 plus 1/87 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/87 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 87. 87 is the LCM of 3 and 87. Multiplying the LCM 87 with the numerators and denominators of both fractions (2/3 x 87/87) + (1/87 x 87/87), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 58/87 and for 1/87 is 1/87. By simplifying this fraction addition 58/87 + 1/87, it becomes 59/87.
Pie Chart Representation: 2/3 + 1/87 = 59/87
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 1/87 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 1/87 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/3) + (1/87) using LCM Method:
What is 2/3 plus 1/87 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/87
What to be found?
(2/3) + (1/87) = ?
Find what's the sum of 2/3 and 1/87.
step 2 Compare the denominators of fractions 2/3 and 1/87 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 1/87 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 2/3 and 1/87:
The LCM of 3 and 87 is 87.
step 4 Write the fractions 2/3 and 1/87 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 1/87
= [(2 x 87)/(3 x 87)] + [(1 x 87)/(87 x 87)]
step 5 Simplify the expression to have common denominator:
= 58/87 + 1/87
step 6 Take the common values out and rewrite the above expression like the below:
= 1/87 x (58/1 + 1/1)
= 1/87 x (58 + 1)
step 7Simplify the above expression further:
= 1/87 x 59
= 59/87
2/3 + 1/87 = 59/87
Hence,
2/3 plus 1/87 as a fraction is 59/87.
2/3 + 1/87 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/87
What to be found?
(2/3)+(1/87) = ?
Find what's the sum of 2/3 and 1/87.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 87), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 87) and rewrite the equation as like the below:
= (2 x 87) + (1 x 3)/(3 x 87)
step 3 Simplify and rewrite the fraction:
= (174 + 3)/261
= 177/261
= 59/87
2/3 + 1/87 = 59/87
Hence,
2/3 plus 1/87 in fraction is 59/87