What is 1/8 + 2/91 in fraction?
1/8 + 2/91 equals to 107/728 in fraction form.
Learn how to find what is 1/8 plus 2/91 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/91 as a fraction and decimal.
Summary: 1/8 plus 2/91 = 107/728
Since both fractions have unequal denominators, 1/8 plus 2/91 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/91 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 91. 728 is the LCM of 8 and 91. Multiplying the LCM 728 with the numerators and denominators of both fractions (1/8 x 728/728) + (2/91 x 728/728), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 91/728 and for 2/91 is 16/728. By simplifying this fraction addition 91/728 + 16/728, it becomes 107/728.
Pie Chart Representation: 1/8 + 2/91 = 107/728
The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/91 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/91 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/8) + (2/91) using LCM Method:
What is 1/8 plus 2/91 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/91
What to be found?
(1/8) + (2/91) = ?
Find what's the sum of 1/8 and 2/91.
step 2 Compare the denominators of fractions 1/8 and 2/91 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/91 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 1/8 and 2/91:
The LCM of 8 and 91 is 728.
step 4 Write the fractions 1/8 and 2/91 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/91
= [(1 x 728)/(8 x 728)] + [(2 x 728)/(91 x 728)]
step 5 Simplify the expression to have common denominator:
= 91/728 + 16/728
step 6 Take the common values out and rewrite the above expression like the below:
= 1/728 x (91/1 + 16/1)
= 1/728 x (91 + 16)
step 7Simplify the above expression further:
= 1/728 x 107
= 107/728
1/8 + 2/91 = 107/728
Hence,
1/8 plus 2/91 as a fraction is 107/728.
1/8 + 2/91 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/91
What to be found?
(1/8)+(2/91) = ?
Find what's the sum of 1/8 and 2/91.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 91), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 91) and rewrite the equation as like the below:
= (1 x 91) + (2 x 8)/(8 x 91)
step 3 Simplify and rewrite the fraction:
= (91 + 16)/728
1/8 + 2/91 = 107/728
Hence,
1/8 plus 2/91 in fraction is 107/728