What is 4/9 - 4/11 in fraction?
4/9 - 4/11 equals to 8/99 in fraction form.
Learn how to find what is 4/9 minus 4/11 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 - 4/11 as a fraction and decimal.
Summary: 4/9 minus 4/11 = 8/99
Since both fractions have unequal denominators, 4/9 minus 4/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 4/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 11. 99 is the LCM of 9 and 11. Multiplying the LCM 99 with the numerators and denominators of both fractions (4/9 x 99/99) - (4/11 x 99/99), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 44/99 and for 4/11 is 36/99. By simplifying this fraction subtraction 44/99 - 36/99, it becomes 8/99.
Pie Chart Representation: 4/9 - 4/11 = 8/99
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/11 from 4/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/9 minus 4/11.
1. LCM method
2. Cross multiplication method.
(4/9) - (4/11) using LCM Method:
What is 4/9 minus 4/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 4/11
What to be found?
(4/9) - (4/11) = ?
Find what's the difference between 4/9 and 4/11.
step 2 Compare the denominators of fractions 4/9 and 4/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 4/11 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 4/9 and 4/11:
The LCM of 9 and 11 is 99.
step 4 Write the fractions 4/9 and 4/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 - 4/11
= [(4 x 99)/(9 x 99)] - [(4 x 99)/(11 x 99)]
step 5 Simplify the expression to have common denominator:
= 44/99 - 36/99
step 6 Take the common values out and rewrite the above expression like the below:
= 1/99 x (44/1 - 36/1)
= 1/99 x (44 - 36)
step 7Simplify the above expression further:
= 1/99 x 8
= 8/99
4/9 - 4/11 = 8/99
Hence,
4/9 minus 4/11 as a fraction is 8/99.
4/9 - 4/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 4/11
What to be found?
(4/9)-(4/11) = ?
Find what's the difference between 4/9 and 4/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 11), find the product of numerator of Fraction B and denominator of Fraction A (4 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 11) and rewrite the equation as like the below:
= (4 x 11) - (4 x 9)/(9 x 11)
step 3 Simplify and rewrite the fraction:
= (44 - 36)/99
4/9 - 4/11 = 8/99
Hence,
4/9 minus 4/11 in fraction is 8/99