What is 5/6 minus 9/11 in fraction?
5/6 minus 9/11 equals to 1/66 in fraction form.
Learn how to find what is 5/6 minus 9/11 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 9/11 as a fraction and decimal.
Summary: 5/6 minus 9/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/6 and 9/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 66 is the LCM of 6 and 11. Multiply the LCM 66 with all the numerators and denominators of both fractions (5/6 x 66/66) - (9/11 x 66/66) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 1/66.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/11 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 9/11.
1. LCM method
2. Cross multiplication method.
5/6-9/11 using LCM Method:
What is 5/6 minus 9/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/11
What to be found?
5/6-9/11 = ?
Find what's the difference between 5/6 and 9/11.
step 2 Compare the denominators of fractions 5/6 and 9/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 9/11 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 9/11:
The LCM of 6 and 11 is 66.
step 4 Write the fractions 5/6 and 9/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6-9/11
=(5 x 66)/(6 x 66)-(9 x 66)/(11 x 66)
step 5 Simplify the expression to have common denominator:
=55/66-54/66
step 6 Take the common values out and rewrite the above expression like the below:
=1/66 x (55/1-54/1)
=1/66 x (55 - 54)
step 7Simplify the above expression further:
=1/66 x 1
=1/66
5/6-9/11=1/66
Hence,
5/6 minus 9/11 equals to 1/66 in fraction.
5/6-9/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 9/11
What to be found?
5/6-9/11 = ?
Find what's the difference between 5/6 and 9/11.
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 (9 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) - (9 x 6)/(6 x 11)
step 3 Simplify and rewrite the fraction:
= (55 - 54)/66
5/6-9/11 = 1/66
Hence,
5/6 minus 9/11 = 1/66