What is 2/6 + 1/43 in fraction?
2/6 + 1/43 equals to 46/129 in fraction form.
Learn how to find what is 2/6 plus 1/43 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/43 as a fraction and decimal.
Summary: 2/6 plus 1/43 = 46/129
Since both fractions have unequal denominators, 2/6 plus 1/43 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 43. 258 is the LCM of 6 and 43. Multiplying the LCM 258 with the numerators and denominators of both fractions (2/6 x 258/258) + (1/43 x 258/258), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 86/258 and for 1/43 is 6/258. By simplifying this fraction addition 86/258 + 6/258, it becomes 92/258.
Pie Chart Representation: 2/6 + 1/43 = 46/129
The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/43 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/43 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/6) + (1/43) using LCM Method:
What is 2/6 plus 1/43 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/43
What to be found?
(2/6) + (1/43) = ?
Find what's the sum of 2/6 and 1/43.
step 2 Compare the denominators of fractions 2/6 and 1/43 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 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 2/6 and 1/43:
The LCM of 6 and 43 is 258.
step 4 Write the fractions 2/6 and 1/43 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/43
= [(2 x 258)/(6 x 258)] + [(1 x 258)/(43 x 258)]
step 5 Simplify the expression to have common denominator:
= 86/258 + 6/258
step 6 Take the common values out and rewrite the above expression like the below:
= 1/258 x (86/1 + 6/1)
= 1/258 x (86 + 6)
step 7Simplify the above expression further:
= 1/258 x 92
= 92/258
= 46/129
2/6 + 1/43 = 46/129
Hence,
2/6 plus 1/43 as a fraction is 46/129.
2/6 + 1/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/43
What to be found?
(2/6)+(1/43) = ?
Find what's the sum of 2/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 43) and rewrite the equation as like the below:
= (2 x 43) + (1 x 6)/(6 x 43)
step 3 Simplify and rewrite the fraction:
= (86 + 6)/258
= 92/258
= 46/129
2/6 + 1/43 = 46/129
Hence,
2/6 plus 1/43 in fraction is 46/129