1/4 + 2/55 as a fraction

Learn how to find what is 1/4 plus 2/55 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/55 as a fraction and decimal.

Summary: 1/4 plus 2/55 = 63/220
Since both fractions have unequal denominators, 1/4 plus 2/55 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/55 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 55. 220 is the LCM of 4 and 55. Multiplying the LCM 220 with the numerators and denominators of both fractions (1/4 x 220/220) + (2/55 x 220/220), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 55/220 and for 2/55 is 8/220. By simplifying this fraction addition 55/220 + 8/220, it becomes 63/220.

Pie Chart Representation: 1/4 + 2/55 = 63/220

CALCULATION: 1/4 + 2/55 as a fraction
1/4 + 2/55 = (?)
1/4 + 2/55 = [(1 x 55) + (2 x 4)]/(4 x 55)
= (55 + 8)/220
= 63/220
1/4 + 2/55 = 63/220
1/4 plus 2/55 as a fraction is 63/220.

where
1/4 is a proper fraction as an addend,
2/55 is a proper fraction as an addend,
63/220 is the sum of 1/4 and 2/55.

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1/4 plus 2/55 as a decimal
1/4 + 2/55 = 63/220
63/220 = 0.2864
(1/4) + (2/55) as a decimal is 0.2864

where
0.2864 is the sum of 1/4 and 2/55.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/55 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/55 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/55) using LCM Method:
What is 1/4 plus 2/55 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/55

What to be found?
(1/4) + (2/55) = ?
Find what's the sum of 1/4 and 2/55.

step 2 Compare the denominators of fractions 1/4 and 2/55 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/55 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 1/4 and 2/55:
The LCM of 4 and 55 is 220.

step 4 Write the fractions 1/4 and 2/55 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/55
= [(1 x 220)/(4 x 220)] + [(2 x 220)/(55 x 220)]

step 5 Simplify the expression to have common denominator:
= 55/220 + 8/220

step 6 Take the common values out and rewrite the above expression like the below:
= 1/220 x (55/1 + 8/1)
= 1/220 x (55 + 8)

step 7Simplify the above expression further:
= 1/220 x 63
= 63/220
1/4 + 2/55 = 63/220

Hence,
1/4 plus 2/55 as a fraction is 63/220.

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1/4 + 2/55 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/55

What to be found?
(1/4)+(2/55) = ?
Find what's the sum of 1/4 and 2/55.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 55), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 55) and rewrite the equation as like the below:
= (1 x 55) + (2 x 4)/(4 x 55)

step 3 Simplify and rewrite the fraction:
= (55 + 8)/220
1/4 + 2/55 = 63/220

Hence,
1/4 plus 2/55 in fraction is 63/220