What is 1/8 - 2/21 in fraction?
1/8 - 2/21 equals to 5/168 in fraction form.
Learn how to find what is 1/8 minus 2/21 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 - 2/21 as a fraction and decimal.
Summary: 1/8 minus 2/21 = 5/168
Since both fractions have unequal denominators, 1/8 minus 2/21 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/21 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 21. 168 is the LCM of 8 and 21. Multiplying the LCM 168 with the numerators and denominators of both fractions (1/8 x 168/168) - (2/21 x 168/168), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 21/168 and for 2/21 is 16/168. By simplifying this fraction subtraction 21/168 - 16/168, it becomes 5/168.
Pie Chart Representation: 1/8 - 2/21 = 5/168
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/21 from 1/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/8 minus 2/21.
1. LCM method
2. Cross multiplication method.
(1/8) - (2/21) using LCM Method:
What is 1/8 minus 2/21 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/21
What to be found?
(1/8) - (2/21) = ?
Find what's the difference between 1/8 and 2/21.
step 2 Compare the denominators of fractions 1/8 and 2/21 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/8 and 2/21 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 1/8 and 2/21:
The LCM of 8 and 21 is 168.
step 4 Write the fractions 1/8 and 2/21 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 - 2/21
= [(1 x 168)/(8 x 168)] - [(2 x 168)/(21 x 168)]
step 5 Simplify the expression to have common denominator:
= 21/168 - 16/168
step 6 Take the common values out and rewrite the above expression like the below:
= 1/168 x (21/1 - 16/1)
= 1/168 x (21 - 16)
step 7Simplify the above expression further:
= 1/168 x 5
= 5/168
1/8 - 2/21 = 5/168
Hence,
1/8 minus 2/21 as a fraction is 5/168.
1/8 - 2/21 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/21
What to be found?
(1/8)-(2/21) = ?
Find what's the difference between 1/8 and 2/21.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 21), find the product of numerator of Fraction B and denominator of Fraction A (2 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 21) and rewrite the equation as like the below:
= (1 x 21) - (2 x 8)/(8 x 21)
step 3 Simplify and rewrite the fraction:
= (21 - 16)/168
1/8 - 2/21 = 5/168
Hence,
1/8 minus 2/21 in fraction is 5/168