What is 1/2 + 1/59 in fraction?
1/2 + 1/59 equals to 61/118 in fraction form.
Learn how to find what is 1/2 plus 1/59 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/59 as a fraction and decimal.
Summary: 1/2 plus 1/59 = 61/118
Since both fractions have unequal denominators, 1/2 plus 1/59 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/59 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 59. 118 is the LCM of 2 and 59. Multiplying the LCM 118 with the numerators and denominators of both fractions (1/2 x 118/118) + (1/59 x 118/118), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 59/118 and for 1/59 is 2/118. By simplifying this fraction addition 59/118 + 2/118, it becomes 61/118.
Pie Chart Representation: 1/2 + 1/59 = 61/118
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/59 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/59 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/2) + (1/59) using LCM Method:
What is 1/2 plus 1/59 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/59
What to be found?
(1/2) + (1/59) = ?
Find what's the sum of 1/2 and 1/59.
step 2 Compare the denominators of fractions 1/2 and 1/59 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/59 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 1/2 and 1/59:
The LCM of 2 and 59 is 118.
step 4 Write the fractions 1/2 and 1/59 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/59
= [(1 x 118)/(2 x 118)] + [(1 x 118)/(59 x 118)]
step 5 Simplify the expression to have common denominator:
= 59/118 + 2/118
step 6 Take the common values out and rewrite the above expression like the below:
= 1/118 x (59/1 + 2/1)
= 1/118 x (59 + 2)
step 7Simplify the above expression further:
= 1/118 x 61
= 61/118
1/2 + 1/59 = 61/118
Hence,
1/2 plus 1/59 as a fraction is 61/118.
1/2 + 1/59 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/59
What to be found?
(1/2)+(1/59) = ?
Find what's the sum of 1/2 and 1/59.
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 (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 59) and rewrite the equation as like the below:
= (1 x 59) + (1 x 2)/(2 x 59)
step 3 Simplify and rewrite the fraction:
= (59 + 2)/118
1/2 + 1/59 = 61/118
Hence,
1/2 plus 1/59 in fraction is 61/118