1/4 + 2/74 as a fraction

Learn how to find what is 1/4 plus 2/74 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/74 as a fraction and decimal.

Summary: 1/4 plus 2/74 = 41/148
Since both fractions have unequal denominators, 1/4 plus 2/74 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/74 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 74. 148 is the LCM of 4 and 74. Multiplying the LCM 148 with the numerators and denominators of both fractions (1/4 x 148/148) + (2/74 x 148/148), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 37/148 and for 2/74 is 4/148. By simplifying this fraction addition 37/148 + 4/148, it becomes 41/148.

Pie Chart Representation: 1/4 + 2/74 = 41/148

CALCULATION: 1/4 + 2/74 as a fraction
1/4 + 2/74 = (?)
1/4 + 2/74 = [(1 x 74) + (2 x 4)]/(4 x 74)
= (74 + 8)/296
= 82/296
= (2 x 41)/(2 x 148)
= 41/148
1/4 + 2/74 = 41/148
1/4 plus 2/74 as a fraction is 41/148.

where
1/4 is a proper fraction as an addend,
2/74 is a proper fraction as an addend,
41/148 is the sum of 1/4 and 2/74.

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1/4 plus 2/74 as a decimal
1/4 + 2/74 = 41/148
41/148 = 0.277
(1/4) + (2/74) as a decimal is 0.277

where
0.277 is the sum of 1/4 and 2/74.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/74 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/74 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/74) using LCM Method:
What is 1/4 plus 2/74 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/74

What to be found?
(1/4) + (2/74) = ?
Find what's the sum of 1/4 and 2/74.

step 2 Compare the denominators of fractions 1/4 and 2/74 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/74 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 2/74:
The LCM of 4 and 74 is 148.

step 4 Write the fractions 1/4 and 2/74 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/74
= [(1 x 148)/(4 x 148)] + [(2 x 148)/(74 x 148)]

step 5 Simplify the expression to have common denominator:
= 37/148 + 4/148

step 6 Take the common values out and rewrite the above expression like the below:
= 1/148 x (37/1 + 4/1)
= 1/148 x (37 + 4)

step 7Simplify the above expression further:
= 1/148 x 41
= 41/148
1/4 + 2/74 = 41/148

Hence,
1/4 plus 2/74 as a fraction is 41/148.

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1/4 + 2/74 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/74

What to be found?
(1/4)+(2/74) = ?
Find what's the sum of 1/4 and 2/74.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 74), 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 74) and rewrite the equation as like the below:
= (1 x 74) + (2 x 4)/(4 x 74)

step 3 Simplify and rewrite the fraction:
= (74 + 8)/296
= 82/296
= 41/148
1/4 + 2/74 = 41/148

Hence,
1/4 plus 2/74 in fraction is 41/148