What is 2/6 + 1/40 in fraction?
2/6 + 1/40 equals to 43/120 in fraction form.
Learn how to find what is 2/6 plus 1/40 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/40 as a fraction and decimal.
Summary: 2/6 plus 1/40 = 43/120
Since both fractions have unequal denominators, 2/6 plus 1/40 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/40 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 40. 120 is the LCM of 6 and 40. Multiplying the LCM 120 with the numerators and denominators of both fractions (2/6 x 120/120) + (1/40 x 120/120), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 40/120 and for 1/40 is 3/120. By simplifying this fraction addition 40/120 + 3/120, it becomes 43/120.
Pie Chart Representation: 2/6 + 1/40 = 43/120
The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/40 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/40 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/6) + (1/40) using LCM Method:
What is 2/6 plus 1/40 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/40
What to be found?
(2/6) + (1/40) = ?
Find what's the sum of 2/6 and 1/40.
step 2 Compare the denominators of fractions 2/6 and 1/40 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/40 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 1/40:
The LCM of 6 and 40 is 120.
step 4 Write the fractions 2/6 and 1/40 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/40
= [(2 x 120)/(6 x 120)] + [(1 x 120)/(40 x 120)]
step 5 Simplify the expression to have common denominator:
= 40/120 + 3/120
step 6 Take the common values out and rewrite the above expression like the below:
= 1/120 x (40/1 + 3/1)
= 1/120 x (40 + 3)
step 7Simplify the above expression further:
= 1/120 x 43
= 43/120
2/6 + 1/40 = 43/120
Hence,
2/6 plus 1/40 as a fraction is 43/120.
2/6 + 1/40 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/40
What to be found?
(2/6)+(1/40) = ?
Find what's the sum of 2/6 and 1/40.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 40), 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 40) and rewrite the equation as like the below:
= (2 x 40) + (1 x 6)/(6 x 40)
step 3 Simplify and rewrite the fraction:
= (80 + 6)/240
= 86/240
= 43/120
2/6 + 1/40 = 43/120
Hence,
2/6 plus 1/40 in fraction is 43/120