1/4 + 2/25 as a fraction

Learn how to find what is 1/4 plus 2/25 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/25 as a fraction and decimal.

Summary: 1/4 plus 2/25 = 33/100
Since both fractions have unequal denominators, 1/4 plus 2/25 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/25 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 25. 100 is the LCM of 4 and 25. Multiplying the LCM 100 with the numerators and denominators of both fractions (1/4 x 100/100) + (2/25 x 100/100), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 25/100 and for 2/25 is 8/100. By simplifying this fraction addition 25/100 + 8/100, it becomes 33/100.

Pie Chart Representation: 1/4 + 2/25 = 33/100

CALCULATION: 1/4 + 2/25 as a fraction
1/4 + 2/25 = (?)
1/4 + 2/25 = [(1 x 25) + (2 x 4)]/(4 x 25)
= (25 + 8)/100
= 33/100
1/4 + 2/25 = 33/100
1/4 plus 2/25 as a fraction is 33/100.

where
1/4 is a proper fraction as an addend,
2/25 is a proper fraction as an addend,
33/100 is the sum of 1/4 and 2/25.

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1/4 plus 2/25 as a decimal
1/4 + 2/25 = 33/100
33/100 = 0.33
(1/4) + (2/25) as a decimal is 0.33

where
0.33 is the sum of 1/4 and 2/25.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/25 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/25 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/25) using LCM Method:
What is 1/4 plus 2/25 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/25

What to be found?
(1/4) + (2/25) = ?
Find what's the sum of 1/4 and 2/25.

step 2 Compare the denominators of fractions 1/4 and 2/25 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/25 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 2/25:
The LCM of 4 and 25 is 100.

step 4 Write the fractions 1/4 and 2/25 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/25
= [(1 x 100)/(4 x 100)] + [(2 x 100)/(25 x 100)]

step 5 Simplify the expression to have common denominator:
= 25/100 + 8/100

step 6 Take the common values out and rewrite the above expression like the below:
= 1/100 x (25/1 + 8/1)
= 1/100 x (25 + 8)

step 7Simplify the above expression further:
= 1/100 x 33
= 33/100
1/4 + 2/25 = 33/100

Hence,
1/4 plus 2/25 as a fraction is 33/100.

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1/4 + 2/25 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/25

What to be found?
(1/4)+(2/25) = ?
Find what's the sum of 1/4 and 2/25.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 25), 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 25) and rewrite the equation as like the below:
= (1 x 25) + (2 x 4)/(4 x 25)

step 3 Simplify and rewrite the fraction:
= (25 + 8)/100
1/4 + 2/25 = 33/100

Hence,
1/4 plus 2/25 in fraction is 33/100