What is 1/4 - 2/61 in fraction?
1/4 - 2/61 equals to 53/244 in fraction form.
Learn how to find what is 1/4 minus 2/61 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 2/61 as a fraction and decimal.
Summary: 1/4 minus 2/61 = 53/244
Since both fractions have unequal denominators, 1/4 minus 2/61 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/61 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 61. 244 is the LCM of 4 and 61. Multiplying the LCM 244 with the numerators and denominators of both fractions (1/4 x 244/244) - (2/61 x 244/244), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 61/244 and for 2/61 is 8/244. By simplifying this fraction subtraction 61/244 - 8/244, it becomes 53/244.
Pie Chart Representation: 1/4 - 2/61 = 53/244
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/61 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 2/61.
1. LCM method
2. Cross multiplication method.
(1/4) - (2/61) using LCM Method:
What is 1/4 minus 2/61 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/61
What to be found?
(1/4) - (2/61) = ?
Find what's the difference between 1/4 and 2/61.
step 2 Compare the denominators of fractions 1/4 and 2/61 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 2/61 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 1/4 and 2/61:
The LCM of 4 and 61 is 244.
step 4 Write the fractions 1/4 and 2/61 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 - 2/61
= [(1 x 244)/(4 x 244)] - [(2 x 244)/(61 x 244)]
step 5 Simplify the expression to have common denominator:
= 61/244 - 8/244
step 6 Take the common values out and rewrite the above expression like the below:
= 1/244 x (61/1 - 8/1)
= 1/244 x (61 - 8)
step 7Simplify the above expression further:
= 1/244 x 53
= 53/244
1/4 - 2/61 = 53/244
Hence,
1/4 minus 2/61 as a fraction is 53/244.
1/4 - 2/61 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/61
What to be found?
(1/4)-(2/61) = ?
Find what's the difference between 1/4 and 2/61.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 61), 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 61) and rewrite the equation as like the below:
= (1 x 61) - (2 x 4)/(4 x 61)
step 3 Simplify and rewrite the fraction:
= (61 - 8)/244
1/4 - 2/61 = 53/244
Hence,
1/4 minus 2/61 in fraction is 53/244