What is 6 - 8/11 in fraction?
6 - 8/11 equals to 58/11 in fraction form.
Learn how to find what is 6 minus 8/11 in fraction form just in a few minutes. We have covered the easiest method to write 6 - 8/11 as a fraction and decimal.
Summary: 6 minus 8/11 = 58/11
Since both fractions have unequal denominators, 6 minus 8/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6 and fraction 8/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (6 x 11/11) - (8/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 6 is 66/11 and for 8/11 is 8/11. By simplifying this fraction subtraction 66/11 - 8/11, it becomes 58/11.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/11 from 6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6 minus 8/11.
1. LCM method
2. Cross multiplication method.
(6) - (8/11) using LCM Method:
What is 6 minus 8/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 8/11
What to be found?
(6) - (8/11) = ?
Find what's the difference between 6 and 8/11.
step 2 Compare the denominators of fractions 6 and 8/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6 and 8/11 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 6 and 8/11:
The LCM of 1 and 11 is 11.
step 4 Write the fractions 6 and 8/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6 - 8/11
= [(6 x 11)/(1 x 11)] - [(8 x 11)/(11 x 11)]
step 5 Simplify the expression to have common denominator:
= 66/11 - 8/11
step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (66/1 - 8/1)
= 1/11 x (66 - 8)
step 7Simplify the above expression further:
= 1/11 x 58
= 58/11
6 - 8/11 = 58/11
Hence,
6 minus 8/11 as a fraction is 58/11.
6 - 8/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 8/11
What to be found?
(6)-(8/11) = ?
Find what's the difference between 6 and 8/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 11), find the product of numerator of Fraction B and denominator of Fraction A (8 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (6 x 11) - (8 x 1)/(1 x 11)
step 3 Simplify and rewrite the fraction:
= (66 - 8)/11
6 - 8/11 = 58/11
Hence,
6 minus 8/11 in fraction is 58/11