What is 2/8 + 1/83 in fraction?
2/8 + 1/83 equals to 87/332 in fraction form.
Learn how to find what is 2/8 plus 1/83 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/83 as a fraction and decimal.
Summary: 2/8 plus 1/83 = 87/332
Since both fractions have unequal denominators, 2/8 plus 1/83 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/83 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 83. 664 is the LCM of 8 and 83. Multiplying the LCM 664 with the numerators and denominators of both fractions (2/8 x 664/664) + (1/83 x 664/664), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 166/664 and for 1/83 is 8/664. By simplifying this fraction addition 166/664 + 8/664, it becomes 174/664.
Pie Chart Representation: 2/8 + 1/83 = 87/332
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/83 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/83 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/8) + (1/83) using LCM Method:
What is 2/8 plus 1/83 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/83
What to be found?
(2/8) + (1/83) = ?
Find what's the sum of 2/8 and 1/83.
step 2 Compare the denominators of fractions 2/8 and 1/83 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/83 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 2/8 and 1/83:
The LCM of 8 and 83 is 664.
step 4 Write the fractions 2/8 and 1/83 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/83
= [(2 x 664)/(8 x 664)] + [(1 x 664)/(83 x 664)]
step 5 Simplify the expression to have common denominator:
= 166/664 + 8/664
step 6 Take the common values out and rewrite the above expression like the below:
= 1/664 x (166/1 + 8/1)
= 1/664 x (166 + 8)
step 7Simplify the above expression further:
= 1/664 x 174
= 174/664
= 87/332
2/8 + 1/83 = 87/332
Hence,
2/8 plus 1/83 as a fraction is 87/332.
2/8 + 1/83 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/83
What to be found?
(2/8)+(1/83) = ?
Find what's the sum of 2/8 and 1/83.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 83), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 83) and rewrite the equation as like the below:
= (2 x 83) + (1 x 8)/(8 x 83)
step 3 Simplify and rewrite the fraction:
= (166 + 8)/664
= 174/664
= 87/332
2/8 + 1/83 = 87/332
Hence,
2/8 plus 1/83 in fraction is 87/332