What is 2/8 + 1/76 in fraction?
2/8 + 1/76 equals to 5/19 in fraction form.
Learn how to find what is 2/8 plus 1/76 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/76 as a fraction and decimal.
Summary: 2/8 plus 1/76 = 5/19
Since both fractions have unequal denominators, 2/8 plus 1/76 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/76 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 76. 152 is the LCM of 8 and 76. Multiplying the LCM 152 with the numerators and denominators of both fractions (2/8 x 152/152) + (1/76 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 38/152 and for 1/76 is 2/152. By simplifying this fraction addition 38/152 + 2/152, it becomes 40/152.
Pie Chart Representation: 2/8 + 1/76 = 5/19
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/76 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/76 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/8) + (1/76) using LCM Method:
What is 2/8 plus 1/76 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/76
What to be found?
(2/8) + (1/76) = ?
Find what's the sum of 2/8 and 1/76.
step 2 Compare the denominators of fractions 2/8 and 1/76 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/76 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 1/76:
The LCM of 8 and 76 is 152.
step 4 Write the fractions 2/8 and 1/76 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/76
= [(2 x 152)/(8 x 152)] + [(1 x 152)/(76 x 152)]
step 5 Simplify the expression to have common denominator:
= 38/152 + 2/152
step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (38/1 + 2/1)
= 1/152 x (38 + 2)
step 7Simplify the above expression further:
= 1/152 x 40
= 40/152
= 5/19
2/8 + 1/76 = 5/19
Hence,
2/8 plus 1/76 as a fraction is 5/19.
2/8 + 1/76 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/76
What to be found?
(2/8)+(1/76) = ?
Find what's the sum of 2/8 and 1/76.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 76), 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 76) and rewrite the equation as like the below:
= (2 x 76) + (1 x 8)/(8 x 76)
step 3 Simplify and rewrite the fraction:
= (152 + 8)/608
= 160/608
= 5/19
2/8 + 1/76 = 5/19
Hence,
2/8 plus 1/76 in fraction is 5/19