What is 1/9 - 2/84 in fraction?
1/9 - 2/84 equals to 11/126 in fraction form.
Learn how to find what is 1/9 minus 2/84 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 - 2/84 as a fraction and decimal.
Summary: 1/9 minus 2/84 = 11/126
Since both fractions have unequal denominators, 1/9 minus 2/84 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/84 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 84. 252 is the LCM of 9 and 84. Multiplying the LCM 252 with the numerators and denominators of both fractions (1/9 x 252/252) - (2/84 x 252/252), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 28/252 and for 2/84 is 6/252. By simplifying this fraction subtraction 28/252 - 6/252, it becomes 22/252.
Pie Chart Representation: 1/9 - 2/84 = 11/126
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/84 from 1/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/9 minus 2/84.
1. LCM method
2. Cross multiplication method.
(1/9) - (2/84) using LCM Method:
What is 1/9 minus 2/84 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/84
What to be found?
(1/9) - (2/84) = ?
Find what's the difference between 1/9 and 2/84.
step 2 Compare the denominators of fractions 1/9 and 2/84 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/9 and 2/84 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 1/9 and 2/84:
The LCM of 9 and 84 is 252.
step 4 Write the fractions 1/9 and 2/84 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 - 2/84
= [(1 x 252)/(9 x 252)] - [(2 x 252)/(84 x 252)]
step 5 Simplify the expression to have common denominator:
= 28/252 - 6/252
step 6 Take the common values out and rewrite the above expression like the below:
= 1/252 x (28/1 - 6/1)
= 1/252 x (28 - 6)
step 7Simplify the above expression further:
= 1/252 x 22
= 22/252
= 11/126
1/9 - 2/84 = 11/126
Hence,
1/9 minus 2/84 as a fraction is 11/126.
1/9 - 2/84 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/84
What to be found?
(1/9)-(2/84) = ?
Find what's the difference between 1/9 and 2/84.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 84), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 84) and rewrite the equation as like the below:
= (1 x 84) - (2 x 9)/(9 x 84)
step 3 Simplify and rewrite the fraction:
= (84 - 18)/756
= 66/756
= 11/126
1/9 - 2/84 = 11/126
Hence,
1/9 minus 2/84 in fraction is 11/126