1/4 + 2/59 as a fraction

Learn how to find what is 1/4 plus 2/59 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/59 as a fraction and decimal.

Summary: 1/4 plus 2/59 = 67/236
Since both fractions have unequal denominators, 1/4 plus 2/59 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/59 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 59. 236 is the LCM of 4 and 59. Multiplying the LCM 236 with the numerators and denominators of both fractions (1/4 x 236/236) + (2/59 x 236/236), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 59/236 and for 2/59 is 8/236. By simplifying this fraction addition 59/236 + 8/236, it becomes 67/236.

Pie Chart Representation: 1/4 + 2/59 = 67/236

CALCULATION: 1/4 + 2/59 as a fraction
1/4 + 2/59 = (?)
1/4 + 2/59 = [(1 x 59) + (2 x 4)]/(4 x 59)
= (59 + 8)/236
= 67/236
1/4 + 2/59 = 67/236
1/4 plus 2/59 as a fraction is 67/236.

where
1/4 is a proper fraction as an addend,
2/59 is a proper fraction as an addend,
67/236 is the sum of 1/4 and 2/59.

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1/4 plus 2/59 as a decimal
1/4 + 2/59 = 67/236
67/236 = 0.2839
(1/4) + (2/59) as a decimal is 0.2839

where
0.2839 is the sum of 1/4 and 2/59.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/59 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/59 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/59) using LCM Method:
What is 1/4 plus 2/59 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/59

What to be found?
(1/4) + (2/59) = ?
Find what's the sum of 1/4 and 2/59.

step 2 Compare the denominators of fractions 1/4 and 2/59 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/59 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 2/59:
The LCM of 4 and 59 is 236.

step 4 Write the fractions 1/4 and 2/59 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/59
= [(1 x 236)/(4 x 236)] + [(2 x 236)/(59 x 236)]

step 5 Simplify the expression to have common denominator:
= 59/236 + 8/236

step 6 Take the common values out and rewrite the above expression like the below:
= 1/236 x (59/1 + 8/1)
= 1/236 x (59 + 8)

step 7Simplify the above expression further:
= 1/236 x 67
= 67/236
1/4 + 2/59 = 67/236

Hence,
1/4 plus 2/59 as a fraction is 67/236.

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1/4 + 2/59 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/59

What to be found?
(1/4)+(2/59) = ?
Find what's the sum of 1/4 and 2/59.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 59), 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 59) and rewrite the equation as like the below:
= (1 x 59) + (2 x 4)/(4 x 59)

step 3 Simplify and rewrite the fraction:
= (59 + 8)/236
1/4 + 2/59 = 67/236

Hence,
1/4 plus 2/59 in fraction is 67/236