What is 1/8 + 2/86 in fraction?
1/8 + 2/86 equals to 51/344 in fraction form.
Learn how to find what is 1/8 plus 2/86 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 + 2/86 as a fraction and decimal.
Summary: 1/8 plus 2/86 = 51/344
Since both fractions have unequal denominators, 1/8 plus 2/86 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/86 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 86. 344 is the LCM of 8 and 86. Multiplying the LCM 344 with the numerators and denominators of both fractions (1/8 x 344/344) + (2/86 x 344/344), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 43/344 and for 2/86 is 8/344. By simplifying this fraction addition 43/344 + 8/344, it becomes 51/344.
Pie Chart Representation: 1/8 + 2/86 = 51/344
The below workout with step by step calculation shows how to find the equivalent fraction between 1/8 and 2/86 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/8 plus 2/86 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/8) + (2/86) using LCM Method:
What is 1/8 plus 2/86 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/86
What to be found?
(1/8) + (2/86) = ?
Find what's the sum of 1/8 and 2/86.
step 2 Compare the denominators of fractions 1/8 and 2/86 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/8 and 2/86 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 2/86:
The LCM of 8 and 86 is 344.
step 4 Write the fractions 1/8 and 2/86 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 + 2/86
= [(1 x 344)/(8 x 344)] + [(2 x 344)/(86 x 344)]
step 5 Simplify the expression to have common denominator:
= 43/344 + 8/344
step 6 Take the common values out and rewrite the above expression like the below:
= 1/344 x (43/1 + 8/1)
= 1/344 x (43 + 8)
step 7Simplify the above expression further:
= 1/344 x 51
= 51/344
1/8 + 2/86 = 51/344
Hence,
1/8 plus 2/86 as a fraction is 51/344.
1/8 + 2/86 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/86
What to be found?
(1/8)+(2/86) = ?
Find what's the sum of 1/8 and 2/86.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 86), 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 86) and rewrite the equation as like the below:
= (1 x 86) + (2 x 8)/(8 x 86)
step 3 Simplify and rewrite the fraction:
= (86 + 16)/688
= 102/688
= 51/344
1/8 + 2/86 = 51/344
Hence,
1/8 plus 2/86 in fraction is 51/344