1/4 + 2/27 as a fraction

Learn how to find what is 1/4 plus 2/27 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/27 as a fraction and decimal.

Summary: 1/4 plus 2/27 = 35/108
Since both fractions have unequal denominators, 1/4 plus 2/27 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/27 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 27. 108 is the LCM of 4 and 27. Multiplying the LCM 108 with the numerators and denominators of both fractions (1/4 x 108/108) + (2/27 x 108/108), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 27/108 and for 2/27 is 8/108. By simplifying this fraction addition 27/108 + 8/108, it becomes 35/108.

Pie Chart Representation: 1/4 + 2/27 = 35/108

CALCULATION: 1/4 + 2/27 as a fraction
1/4 + 2/27 = (?)
1/4 + 2/27 = [(1 x 27) + (2 x 4)]/(4 x 27)
= (27 + 8)/108
= 35/108
1/4 + 2/27 = 35/108
1/4 plus 2/27 as a fraction is 35/108.

where
1/4 is a proper fraction as an addend,
2/27 is a proper fraction as an addend,
35/108 is the sum of 1/4 and 2/27.

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1/4 plus 2/27 as a decimal
1/4 + 2/27 = 35/108
35/108 = 0.3241
(1/4) + (2/27) as a decimal is 0.3241

where
0.3241 is the sum of 1/4 and 2/27.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/27 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/27 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/27) using LCM Method:
What is 1/4 plus 2/27 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/27

What to be found?
(1/4) + (2/27) = ?
Find what's the sum of 1/4 and 2/27.

step 2 Compare the denominators of fractions 1/4 and 2/27 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/27 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 2/27:
The LCM of 4 and 27 is 108.

step 4 Write the fractions 1/4 and 2/27 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/27
= [(1 x 108)/(4 x 108)] + [(2 x 108)/(27 x 108)]

step 5 Simplify the expression to have common denominator:
= 27/108 + 8/108

step 6 Take the common values out and rewrite the above expression like the below:
= 1/108 x (27/1 + 8/1)
= 1/108 x (27 + 8)

step 7Simplify the above expression further:
= 1/108 x 35
= 35/108
1/4 + 2/27 = 35/108

Hence,
1/4 plus 2/27 as a fraction is 35/108.

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1/4 + 2/27 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/27

What to be found?
(1/4)+(2/27) = ?
Find what's the sum of 1/4 and 2/27.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 27), 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 27) and rewrite the equation as like the below:
= (1 x 27) + (2 x 4)/(4 x 27)

step 3 Simplify and rewrite the fraction:
= (27 + 8)/108
1/4 + 2/27 = 35/108

Hence,
1/4 plus 2/27 in fraction is 35/108