1/5 + 2/45 as a fraction

Learn how to find what is 1/5 plus 2/45 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 + 2/45 as a fraction and decimal.

Summary: 1/5 plus 2/45 = 11/45
Since both fractions have unequal denominators, 1/5 plus 2/45 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 45. 45 is the LCM of 5 and 45. Multiplying the LCM 45 with the numerators and denominators of both fractions (1/5 x 45/45) + (2/45 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 9/45 and for 2/45 is 2/45. By simplifying this fraction addition 9/45 + 2/45, it becomes 11/45.

Pie Chart Representation: 1/5 + 2/45 = 11/45

CALCULATION: 1/5 + 2/45 as a fraction
1/5 + 2/45 = (?)
1/5 + 2/45 = [(1 x 45) + (2 x 5)]/(5 x 45)
= (45 + 10)/225
= 55/225
= (5 x 11)/(5 x 45)
= 11/45
1/5 + 2/45 = 11/45
1/5 plus 2/45 as a fraction is 11/45.

where
1/5 is a proper fraction as an addend,
2/45 is a proper fraction as an addend,
11/45 is the sum of 1/5 and 2/45.

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1/5 plus 2/45 as a decimal
1/5 + 2/45 = 11/45
11/45 = 0.2444
(1/5) + (2/45) as a decimal is 0.2444

where
0.2444 is the sum of 1/5 and 2/45.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/5 and 2/45 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/5 plus 2/45 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/5) + (2/45) using LCM Method:
What is 1/5 plus 2/45 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/45

What to be found?
(1/5) + (2/45) = ?
Find what's the sum of 1/5 and 2/45.

step 2 Compare the denominators of fractions 1/5 and 2/45 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/5 and 2/45 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 2/45:
The LCM of 5 and 45 is 45.

step 4 Write the fractions 1/5 and 2/45 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 + 2/45
= [(1 x 45)/(5 x 45)] + [(2 x 45)/(45 x 45)]

step 5 Simplify the expression to have common denominator:
= 9/45 + 2/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (9/1 + 2/1)
= 1/45 x (9 + 2)

step 7Simplify the above expression further:
= 1/45 x 11
= 11/45
1/5 + 2/45 = 11/45

Hence,
1/5 plus 2/45 as a fraction is 11/45.

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1/5 + 2/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 2/45

What to be found?
(1/5)+(2/45) = ?
Find what's the sum of 1/5 and 2/45.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 45), 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 45) and rewrite the equation as like the below:
= (1 x 45) + (2 x 5)/(5 x 45)

step 3 Simplify and rewrite the fraction:
= (45 + 10)/225
= 55/225
= 11/45
1/5 + 2/45 = 11/45

Hence,
1/5 plus 2/45 in fraction is 11/45