What is 1/2 - 1/53 in fraction?
1/2 - 1/53 equals to 51/106 in fraction form.
Learn how to find what is 1/2 minus 1/53 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 1/53 as a fraction and decimal.
Summary: 1/2 minus 1/53 = 51/106
Since both fractions have unequal denominators, 1/2 minus 1/53 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/53 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 53. 106 is the LCM of 2 and 53. Multiplying the LCM 106 with the numerators and denominators of both fractions (1/2 x 106/106) - (1/53 x 106/106), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 53/106 and for 1/53 is 2/106. By simplifying this fraction subtraction 53/106 - 2/106, it becomes 51/106.
Pie Chart Representation: 1/2 - 1/53 = 51/106
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/53 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 1/53.
1. LCM method
2. Cross multiplication method.
(1/2) - (1/53) using LCM Method:
What is 1/2 minus 1/53 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/53
What to be found?
(1/2) - (1/53) = ?
Find what's the difference between 1/2 and 1/53.
step 2 Compare the denominators of fractions 1/2 and 1/53 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 1/53 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 1/2 and 1/53:
The LCM of 2 and 53 is 106.
step 4 Write the fractions 1/2 and 1/53 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 1/53
= [(1 x 106)/(2 x 106)] - [(1 x 106)/(53 x 106)]
step 5 Simplify the expression to have common denominator:
= 53/106 - 2/106
step 6 Take the common values out and rewrite the above expression like the below:
= 1/106 x (53/1 - 2/1)
= 1/106 x (53 - 2)
step 7Simplify the above expression further:
= 1/106 x 51
= 51/106
1/2 - 1/53 = 51/106
Hence,
1/2 minus 1/53 as a fraction is 51/106.
1/2 - 1/53 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/53
What to be found?
(1/2)-(1/53) = ?
Find what's the difference between 1/2 and 1/53.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 53), 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 53) and rewrite the equation as like the below:
= (1 x 53) - (1 x 2)/(2 x 53)
step 3 Simplify and rewrite the fraction:
= (53 - 2)/106
1/2 - 1/53 = 51/106
Hence,
1/2 minus 1/53 in fraction is 51/106