What is 5/6 - 18/11 in fraction?
5/6 - 18/11 equals to -53/66 in fraction form.
Learn how to find what is 5/6 minus 18/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 18/11 as a fraction and decimal.
Summary: 5/6 minus 18/11 = -53/66
Since both fractions have unequal denominators, 5/6 minus 18/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/6 and fraction 18/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 11. 66 is the LCM of 6 and 11. Multiplying the LCM 66 with the numerators and denominators of both fractions (5/6 x 66/66) - (18/11 x 66/66), and simplify further in order to have the common denominator. So the equivalent fraction for 5/6 is 55/66 and for 18/11 is 108/66. By simplifying this fraction subtraction 55/66 - 108/66, it becomes -53/66.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/11 from 5/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/6 minus 18/11.
1. LCM method
2. Cross multiplication method.
(5/6) - (18/11) using LCM Method:
What is 5/6 minus 18/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 18/11
What to be found?
(5/6) - (18/11) = ?
Find what's the difference between 5/6 and 18/11.
step 2 Compare the denominators of fractions 5/6 and 18/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 18/11 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 5/6 and 18/11:
The LCM of 6 and 11 is 66.
step 4 Write the fractions 5/6 and 18/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/6 - 18/11
= [(5 x 66)/(6 x 66)] - [(18 x 66)/(11 x 66)]
step 5 Simplify the expression to have common denominator:
= 55/66 - 108/66
step 6 Take the common values out and rewrite the above expression like the below:
= 1/66 x (55/1 - 108/1)
= 1/66 x (55 - 108)
step 7Simplify the above expression further:
= 1/66 x -53
= -53/66
5/6 - 18/11 = -53/66
Hence,
5/6 minus 18/11 as a fraction is -53/66.
5/6 - 18/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 18/11
What to be found?
(5/6)-(18/11) = ?
Find what's the difference between 5/6 and 18/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (18 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 11) and rewrite the equation as like the below:
= (5 x 11) - (18 x 6)/(6 x 11)
step 3 Simplify and rewrite the fraction:
= (55 - 108)/66
5/6 - 18/11 = -53/66
Hence,
5/6 minus 18/11 in fraction is -53/66