What is 2/8 + 1/43 in fraction?
2/8 + 1/43 equals to 47/172 in fraction form.
Learn how to find what is 2/8 plus 1/43 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 + 1/43 as a fraction and decimal.
Summary: 2/8 plus 1/43 = 47/172
Since both fractions have unequal denominators, 2/8 plus 1/43 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/8 and fraction 1/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 43. 344 is the LCM of 8 and 43. Multiplying the LCM 344 with the numerators and denominators of both fractions (2/8 x 344/344) + (1/43 x 344/344), and simplify further in order to have the common denominator. So the equivalent fraction for 2/8 is 86/344 and for 1/43 is 8/344. By simplifying this fraction addition 86/344 + 8/344, it becomes 94/344.
Pie Chart Representation: 2/8 + 1/43 = 47/172
The below workout with step by step calculation shows how to find the equivalent fraction between 2/8 and 1/43 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/8 plus 1/43 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/8) + (1/43) using LCM Method:
What is 2/8 plus 1/43 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/43
What to be found?
(2/8) + (1/43) = ?
Find what's the sum of 2/8 and 1/43.
step 2 Compare the denominators of fractions 2/8 and 1/43 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/8 and 1/43 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 1/43:
The LCM of 8 and 43 is 344.
step 4 Write the fractions 2/8 and 1/43 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/8 + 1/43
= [(2 x 344)/(8 x 344)] + [(1 x 344)/(43 x 344)]
step 5 Simplify the expression to have common denominator:
= 86/344 + 8/344
step 6 Take the common values out and rewrite the above expression like the below:
= 1/344 x (86/1 + 8/1)
= 1/344 x (86 + 8)
step 7Simplify the above expression further:
= 1/344 x 94
= 94/344
= 47/172
2/8 + 1/43 = 47/172
Hence,
2/8 plus 1/43 as a fraction is 47/172.
2/8 + 1/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 1/43
What to be found?
(2/8)+(1/43) = ?
Find what's the sum of 2/8 and 1/43.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 43), 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 43) and rewrite the equation as like the below:
= (2 x 43) + (1 x 8)/(8 x 43)
step 3 Simplify and rewrite the fraction:
= (86 + 8)/344
= 94/344
= 47/172
2/8 + 1/43 = 47/172
Hence,
2/8 plus 1/43 in fraction is 47/172