What is 1/3 - 2/59 in fraction?
1/3 - 2/59 equals to 53/177 in fraction form.
Learn how to find what is 1/3 minus 2/59 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/59 as a fraction and decimal.
Summary: 1/3 minus 2/59 = 53/177
Since both fractions have unequal denominators, 1/3 minus 2/59 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/59 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 59. 177 is the LCM of 3 and 59. Multiplying the LCM 177 with the numerators and denominators of both fractions (1/3 x 177/177) - (2/59 x 177/177), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 59/177 and for 2/59 is 6/177. By simplifying this fraction subtraction 59/177 - 6/177, it becomes 53/177.
Pie Chart Representation: 1/3 - 2/59 = 53/177
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/59 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/59.
1. LCM method
2. Cross multiplication method.
(1/3) - (2/59) using LCM Method:
What is 1/3 minus 2/59 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/59
What to be found?
(1/3) - (2/59) = ?
Find what's the difference between 1/3 and 2/59.
step 2 Compare the denominators of fractions 1/3 and 2/59 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/59 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 1/3 and 2/59:
The LCM of 3 and 59 is 177.
step 4 Write the fractions 1/3 and 2/59 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/59
= [(1 x 177)/(3 x 177)] - [(2 x 177)/(59 x 177)]
step 5 Simplify the expression to have common denominator:
= 59/177 - 6/177
step 6 Take the common values out and rewrite the above expression like the below:
= 1/177 x (59/1 - 6/1)
= 1/177 x (59 - 6)
step 7Simplify the above expression further:
= 1/177 x 53
= 53/177
1/3 - 2/59 = 53/177
Hence,
1/3 minus 2/59 as a fraction is 53/177.
1/3 - 2/59 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/59
What to be found?
(1/3)-(2/59) = ?
Find what's the difference between 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 59) and rewrite the equation as like the below:
= (1 x 59) - (2 x 3)/(3 x 59)
step 3 Simplify and rewrite the fraction:
= (59 - 6)/177
1/3 - 2/59 = 53/177
Hence,
1/3 minus 2/59 in fraction is 53/177