1/4 + 2/30 as a fraction

Learn how to find what is 1/4 plus 2/30 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/30 as a fraction and decimal.

Summary: 1/4 plus 2/30 = 19/60
Since both fractions have unequal denominators, 1/4 plus 2/30 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/30 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 30. 60 is the LCM of 4 and 30. Multiplying the LCM 60 with the numerators and denominators of both fractions (1/4 x 60/60) + (2/30 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 15/60 and for 2/30 is 4/60. By simplifying this fraction addition 15/60 + 4/60, it becomes 19/60.

Pie Chart Representation: 1/4 + 2/30 = 19/60

CALCULATION: 1/4 + 2/30 as a fraction
1/4 + 2/30 = (?)
1/4 + 2/30 = [(1 x 30) + (2 x 4)]/(4 x 30)
= (30 + 8)/120
= 38/120
= (2 x 19)/(2 x 60)
= 19/60
1/4 + 2/30 = 19/60
1/4 plus 2/30 as a fraction is 19/60.

where
1/4 is a proper fraction as an addend,
2/30 is a proper fraction as an addend,
19/60 is the sum of 1/4 and 2/30.

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1/4 plus 2/30 as a decimal
1/4 + 2/30 = 19/60
19/60 = 0.3167
(1/4) + (2/30) as a decimal is 0.3167

where
0.3167 is the sum of 1/4 and 2/30.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/30 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/30 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/30) using LCM Method:
What is 1/4 plus 2/30 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/30

What to be found?
(1/4) + (2/30) = ?
Find what's the sum of 1/4 and 2/30.

step 2 Compare the denominators of fractions 1/4 and 2/30 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/30 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 2/30:
The LCM of 4 and 30 is 60.

step 4 Write the fractions 1/4 and 2/30 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/30
= [(1 x 60)/(4 x 60)] + [(2 x 60)/(30 x 60)]

step 5 Simplify the expression to have common denominator:
= 15/60 + 4/60

step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (15/1 + 4/1)
= 1/60 x (15 + 4)

step 7Simplify the above expression further:
= 1/60 x 19
= 19/60
1/4 + 2/30 = 19/60

Hence,
1/4 plus 2/30 as a fraction is 19/60.

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1/4 + 2/30 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/30

What to be found?
(1/4)+(2/30) = ?
Find what's the sum of 1/4 and 2/30.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 30), 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 30) and rewrite the equation as like the below:
= (1 x 30) + (2 x 4)/(4 x 30)

step 3 Simplify and rewrite the fraction:
= (30 + 8)/120
= 38/120
= 19/60
1/4 + 2/30 = 19/60

Hence,
1/4 plus 2/30 in fraction is 19/60