1/4 + 2/62 as a fraction

Learn how to find what is 1/4 plus 2/62 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/62 as a fraction and decimal.

Summary: 1/4 plus 2/62 = 35/124
Since both fractions have unequal denominators, 1/4 plus 2/62 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/62 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 62. 124 is the LCM of 4 and 62. Multiplying the LCM 124 with the numerators and denominators of both fractions (1/4 x 124/124) + (2/62 x 124/124), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 31/124 and for 2/62 is 4/124. By simplifying this fraction addition 31/124 + 4/124, it becomes 35/124.

Pie Chart Representation: 1/4 + 2/62 = 35/124

CALCULATION: 1/4 + 2/62 as a fraction
1/4 + 2/62 = (?)
1/4 + 2/62 = [(1 x 62) + (2 x 4)]/(4 x 62)
= (62 + 8)/248
= 70/248
= (2 x 35)/(2 x 124)
= 35/124
1/4 + 2/62 = 35/124
1/4 plus 2/62 as a fraction is 35/124.

where
1/4 is a proper fraction as an addend,
2/62 is a proper fraction as an addend,
35/124 is the sum of 1/4 and 2/62.

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1/4 plus 2/62 as a decimal
1/4 + 2/62 = 35/124
35/124 = 0.2823
(1/4) + (2/62) as a decimal is 0.2823

where
0.2823 is the sum of 1/4 and 2/62.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/62 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/62 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/62) using LCM Method:
What is 1/4 plus 2/62 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/62

What to be found?
(1/4) + (2/62) = ?
Find what's the sum of 1/4 and 2/62.

step 2 Compare the denominators of fractions 1/4 and 2/62 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/62 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 2/62:
The LCM of 4 and 62 is 124.

step 4 Write the fractions 1/4 and 2/62 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/62
= [(1 x 124)/(4 x 124)] + [(2 x 124)/(62 x 124)]

step 5 Simplify the expression to have common denominator:
= 31/124 + 4/124

step 6 Take the common values out and rewrite the above expression like the below:
= 1/124 x (31/1 + 4/1)
= 1/124 x (31 + 4)

step 7Simplify the above expression further:
= 1/124 x 35
= 35/124
1/4 + 2/62 = 35/124

Hence,
1/4 plus 2/62 as a fraction is 35/124.

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1/4 + 2/62 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/62

What to be found?
(1/4)+(2/62) = ?
Find what's the sum of 1/4 and 2/62.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 62), 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 62) and rewrite the equation as like the below:
= (1 x 62) + (2 x 4)/(4 x 62)

step 3 Simplify and rewrite the fraction:
= (62 + 8)/248
= 70/248
= 35/124
1/4 + 2/62 = 35/124

Hence,
1/4 plus 2/62 in fraction is 35/124