What is 3/9 minus 4/11 in fraction?
3/9 minus 4/11 equals to -1/33 in fraction form.
Learn how to find what is 3/9 minus 4/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/9 - 4/11 as a fraction and decimal.
Summary: 3/9 minus 4/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/9 and 4/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 99 is the LCM of 9 and 11. Multiply the LCM 99 with all the numerators and denominators of both fractions (3/9 x 99/99) - (4/11 x 99/99) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -3/99.
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 3/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/9 minus 4/11.
1. LCM method
2. Cross multiplication method.
3/9-4/11 using LCM Method:
What is 3/9 minus 4/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 4/11
What to be found?
3/9-4/11 = ?
Find what's the difference between 3/9 and 4/11.
step 2 Compare the denominators of fractions 3/9 and 4/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/9 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 3/9 and 4/11:
The LCM of 9 and 11 is 99.
step 4 Write the fractions 3/9 and 4/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/9-4/11
=(3 x 99)/(9 x 99)-(4 x 99)/(11 x 99)
step 5 Simplify the expression to have common denominator:
=33/99-36/99
step 6 Take the common values out and rewrite the above expression like the below:
=1/99 x (33/1-36/1)
=1/99 x (33 - 36)
step 7Simplify the above expression further:
=1/99 x -3
= -3/99
=-1/33
3/9-4/11=-1/33
Hence,
3/9 minus 4/11 equals to -1/33 in fraction.
3/9-4/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 4/11
What to be found?
3/9-4/11 = ?
Find what's the difference between 3/9 and 4/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 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:
= (3 x 11) - (4 x 9)/(9 x 11)
step 3 Simplify and rewrite the fraction:
= (33 - 36)/99
= -3/99
= -1/33
3/9-4/11 = -1/33
Hence,
3/9 minus 4/11 = -1/33