1/5 + 2/56 as a fraction

Learn how to find what is 1/5 plus 2/56 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/56 as a fraction and decimal.

Summary: 1/5 plus 2/56 = 33/140
Since both fractions have unequal denominators, 1/5 plus 2/56 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/56 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 56. 280 is the LCM of 5 and 56. Multiplying the LCM 280 with the numerators and denominators of both fractions (1/5 x 280/280) + (2/56 x 280/280), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 56/280 and for 2/56 is 10/280. By simplifying this fraction addition 56/280 + 10/280, it becomes 66/280.

Pie Chart Representation: 1/5 + 2/56 = 33/140

CALCULATION: 1/5 + 2/56 as a fraction
1/5 + 2/56 = (?)
1/5 + 2/56 = [(1 x 56) + (2 x 5)]/(5 x 56)
= (56 + 10)/280
= 66/280
= (2 x 33)/(2 x 140)
= 33/140
1/5 + 2/56 = 33/140
1/5 plus 2/56 as a fraction is 33/140.

where
1/5 is a proper fraction as an addend,
2/56 is a proper fraction as an addend,
33/140 is the sum of 1/5 and 2/56.

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1/5 plus 2/56 as a decimal
1/5 + 2/56 = 33/140
33/140 = 0.2357
(1/5) + (2/56) as a decimal is 0.2357

where
0.2357 is the sum of 1/5 and 2/56.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/56 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/56 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/56) using LCM Method:
What is 1/5 plus 2/56 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/56

What to be found?
(1/5) + (2/56) = ?
Find what's the sum of 1/5 and 2/56.

step 2 Compare the denominators of fractions 1/5 and 2/56 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/56 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 1/5 and 2/56:
The LCM of 5 and 56 is 280.

step 4 Write the fractions 1/5 and 2/56 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/56
= [(1 x 280)/(5 x 280)] + [(2 x 280)/(56 x 280)]

step 5 Simplify the expression to have common denominator:
= 56/280 + 10/280

step 6 Take the common values out and rewrite the above expression like the below:
= 1/280 x (56/1 + 10/1)
= 1/280 x (56 + 10)

step 7Simplify the above expression further:
= 1/280 x 66
= 66/280
= 33/140
1/5 + 2/56 = 33/140

Hence,
1/5 plus 2/56 as a fraction is 33/140.

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1/5 + 2/56 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/56

What to be found?
(1/5)+(2/56) = ?
Find what's the sum of 1/5 and 2/56.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 56), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 56) and rewrite the equation as like the below:
= (1 x 56) + (2 x 5)/(5 x 56)

step 3 Simplify and rewrite the fraction:
= (56 + 10)/280
= 66/280
= 33/140
1/5 + 2/56 = 33/140

Hence,
1/5 plus 2/56 in fraction is 33/140