1/7 + 2/40 as a fraction

Learn how to find what is 1/7 plus 2/40 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/40 as a fraction and decimal.

Summary: 1/7 plus 2/40 = 27/140
Since both fractions have unequal denominators, 1/7 plus 2/40 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/40 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 40. 280 is the LCM of 7 and 40. Multiplying the LCM 280 with the numerators and denominators of both fractions (1/7 x 280/280) + (2/40 x 280/280), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 40/280 and for 2/40 is 14/280. By simplifying this fraction addition 40/280 + 14/280, it becomes 54/280.

Pie Chart Representation: 1/7 + 2/40 = 27/140

CALCULATION: 1/7 + 2/40 as a fraction
1/7 + 2/40 = (?)
1/7 + 2/40 = [(1 x 40) + (2 x 7)]/(7 x 40)
= (40 + 14)/280
= 54/280
= (2 x 27)/(2 x 140)
= 27/140
1/7 + 2/40 = 27/140
1/7 plus 2/40 as a fraction is 27/140.

where
1/7 is a proper fraction as an addend,
2/40 is a proper fraction as an addend,
27/140 is the sum of 1/7 and 2/40.

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1/7 plus 2/40 as a decimal
1/7 + 2/40 = 27/140
27/140 = 0.1929
(1/7) + (2/40) as a decimal is 0.1929

where
0.1929 is the sum of 1/7 and 2/40.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/40 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/40 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/40) using LCM Method:
What is 1/7 plus 2/40 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/40

What to be found?
(1/7) + (2/40) = ?
Find what's the sum of 1/7 and 2/40.

step 2 Compare the denominators of fractions 1/7 and 2/40 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/40 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 1/7 and 2/40:
The LCM of 7 and 40 is 280.

step 4 Write the fractions 1/7 and 2/40 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/40
= [(1 x 280)/(7 x 280)] + [(2 x 280)/(40 x 280)]

step 5 Simplify the expression to have common denominator:
= 40/280 + 14/280

step 6 Take the common values out and rewrite the above expression like the below:
= 1/280 x (40/1 + 14/1)
= 1/280 x (40 + 14)

step 7Simplify the above expression further:
= 1/280 x 54
= 54/280
= 27/140
1/7 + 2/40 = 27/140

Hence,
1/7 plus 2/40 as a fraction is 27/140.

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1/7 + 2/40 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/40

What to be found?
(1/7)+(2/40) = ?
Find what's the sum of 1/7 and 2/40.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 40), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 40) and rewrite the equation as like the below:
= (1 x 40) + (2 x 7)/(7 x 40)

step 3 Simplify and rewrite the fraction:
= (40 + 14)/280
= 54/280
= 27/140
1/7 + 2/40 = 27/140

Hence,
1/7 plus 2/40 in fraction is 27/140