What is 2/4 - 1/21 in fraction?
2/4 - 1/21 equals to 19/42 in fraction form.
Learn how to find what is 2/4 minus 1/21 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 - 1/21 as a fraction and decimal.
Summary: 2/4 minus 1/21 = 19/42
Since both fractions have unequal denominators, 2/4 minus 1/21 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 21. 84 is the LCM of 4 and 21. Multiplying the LCM 84 with the numerators and denominators of both fractions (2/4 x 84/84) - (1/21 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 42/84 and for 1/21 is 4/84. By simplifying this fraction subtraction 42/84 - 4/84, it becomes 38/84.
Pie Chart Representation: 2/4 - 1/21 = 19/42
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/21 from 2/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/4 minus 1/21.
1. LCM method
2. Cross multiplication method.
(2/4) - (1/21) using LCM Method:
What is 2/4 minus 1/21 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/21
What to be found?
(2/4) - (1/21) = ?
Find what's the difference between 2/4 and 1/21.
step 2 Compare the denominators of fractions 2/4 and 1/21 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/4 and 1/21 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 2/4 and 1/21:
The LCM of 4 and 21 is 84.
step 4 Write the fractions 2/4 and 1/21 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 - 1/21
= [(2 x 84)/(4 x 84)] - [(1 x 84)/(21 x 84)]
step 5 Simplify the expression to have common denominator:
= 42/84 - 4/84
step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (42/1 - 4/1)
= 1/84 x (42 - 4)
step 7Simplify the above expression further:
= 1/84 x 38
= 38/84
= 19/42
2/4 - 1/21 = 19/42
Hence,
2/4 minus 1/21 as a fraction is 19/42.
2/4 - 1/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/21
What to be found?
(2/4)-(1/21) = ?
Find what's the difference between 2/4 and 1/21.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 21), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 21) and rewrite the equation as like the below:
= (2 x 21) - (1 x 4)/(4 x 21)
step 3 Simplify and rewrite the fraction:
= (42 - 4)/84
= 38/84
= 19/42
2/4 - 1/21 = 19/42
Hence,
2/4 minus 1/21 in fraction is 19/42