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