2/4 + 1/45 as a fraction

Learn how to find what is 2/4 plus 1/45 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/45 as a fraction and decimal.

Summary: 2/4 plus 1/45 = 47/90
Since both fractions have unequal denominators, 2/4 plus 1/45 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 45. 180 is the LCM of 4 and 45. Multiplying the LCM 180 with the numerators and denominators of both fractions (2/4 x 180/180) + (1/45 x 180/180), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 90/180 and for 1/45 is 4/180. By simplifying this fraction addition 90/180 + 4/180, it becomes 94/180.

Pie Chart Representation: 2/4 + 1/45 = 47/90

CALCULATION: 2/4 + 1/45 as a fraction
2/4 + 1/45 = (?)
2/4 + 1/45 = [(2 x 45) + (1 x 4)]/(4 x 45)
= (90 + 4)/180
= 94/180
= (2 x 47)/(2 x 90)
= 47/90
2/4 + 1/45 = 47/90
2/4 plus 1/45 as a fraction is 47/90.

where
2/4 is a proper fraction as an addend,
1/45 is a proper fraction as an addend,
47/90 is the sum of 2/4 and 1/45.

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2/4 plus 1/45 as a decimal
2/4 + 1/45 = 47/90
47/90 = 0.5222
(2/4) + (1/45) as a decimal is 0.5222

where
0.5222 is the sum of 2/4 and 1/45.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/45 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/45 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/4) + (1/45) using LCM Method:
What is 2/4 plus 1/45 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/45

What to be found?
(2/4) + (1/45) = ?
Find what's the sum of 2/4 and 1/45.

step 2 Compare the denominators of fractions 2/4 and 1/45 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 and 1/45 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 2/4 and 1/45:
The LCM of 4 and 45 is 180.

step 4 Write the fractions 2/4 and 1/45 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/45
= [(2 x 180)/(4 x 180)] + [(1 x 180)/(45 x 180)]

step 5 Simplify the expression to have common denominator:
= 90/180 + 4/180

step 6 Take the common values out and rewrite the above expression like the below:
= 1/180 x (90/1 + 4/1)
= 1/180 x (90 + 4)

step 7Simplify the above expression further:
= 1/180 x 94
= 94/180
= 47/90
2/4 + 1/45 = 47/90

Hence,
2/4 plus 1/45 as a fraction is 47/90.

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2/4 + 1/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/45

What to be found?
(2/4)+(1/45) = ?
Find what's the sum of 2/4 and 1/45.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 45), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 45) and rewrite the equation as like the below:
= (2 x 45) + (1 x 4)/(4 x 45)

step 3 Simplify and rewrite the fraction:
= (90 + 4)/180
= 94/180
= 47/90
2/4 + 1/45 = 47/90

Hence,
2/4 plus 1/45 in fraction is 47/90