What is 2/3 - 1/53 in fraction?
2/3 - 1/53 equals to 103/159 in fraction form.
Learn how to find what is 2/3 minus 1/53 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 1/53 as a fraction and decimal.
Summary: 2/3 minus 1/53 = 103/159
Since both fractions have unequal denominators, 2/3 minus 1/53 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/53 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 53. 159 is the LCM of 3 and 53. Multiplying the LCM 159 with the numerators and denominators of both fractions (2/3 x 159/159) - (1/53 x 159/159), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 106/159 and for 1/53 is 3/159. By simplifying this fraction subtraction 106/159 - 3/159, it becomes 103/159.
Pie Chart Representation: 2/3 - 1/53 = 103/159
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 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 1/53.
1. LCM method
2. Cross multiplication method.
(2/3) - (1/53) using LCM Method:
What is 2/3 minus 1/53 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/53
What to be found?
(2/3) - (1/53) = ?
Find what's the difference between 2/3 and 1/53.
step 2 Compare the denominators of fractions 2/3 and 1/53 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 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 2/3 and 1/53:
The LCM of 3 and 53 is 159.
step 4 Write the fractions 2/3 and 1/53 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 1/53
= [(2 x 159)/(3 x 159)] - [(1 x 159)/(53 x 159)]
step 5 Simplify the expression to have common denominator:
= 106/159 - 3/159
step 6 Take the common values out and rewrite the above expression like the below:
= 1/159 x (106/1 - 3/1)
= 1/159 x (106 - 3)
step 7Simplify the above expression further:
= 1/159 x 103
= 103/159
2/3 - 1/53 = 103/159
Hence,
2/3 minus 1/53 as a fraction is 103/159.
2/3 - 1/53 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/53
What to be found?
(2/3)-(1/53) = ?
Find what's the difference between 2/3 and 1/53.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 53), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 53) and rewrite the equation as like the below:
= (2 x 53) - (1 x 3)/(3 x 53)
step 3 Simplify and rewrite the fraction:
= (106 - 3)/159
2/3 - 1/53 = 103/159
Hence,
2/3 minus 1/53 in fraction is 103/159