What is 3/4 - 12/11 in fraction?
3/4 - 12/11 equals to -15/44 in fraction form.
Learn how to find what is 3/4 minus 12/11 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 12/11 as a fraction and decimal.
Summary: 3/4 minus 12/11 = -15/44
Since both fractions have unequal denominators, 3/4 minus 12/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 12/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 11. 44 is the LCM of 4 and 11. Multiplying the LCM 44 with the numerators and denominators of both fractions (3/4 x 44/44) - (12/11 x 44/44), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 33/44 and for 12/11 is 48/44. By simplifying this fraction subtraction 33/44 - 48/44, it becomes -15/44.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/11 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 12/11.
1. LCM method
2. Cross multiplication method.
(3/4) - (12/11) using LCM Method:
What is 3/4 minus 12/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 12/11
What to be found?
(3/4) - (12/11) = ?
Find what's the difference between 3/4 and 12/11.
step 2 Compare the denominators of fractions 3/4 and 12/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 12/11 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 3/4 and 12/11:
The LCM of 4 and 11 is 44.
step 4 Write the fractions 3/4 and 12/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 12/11
= [(3 x 44)/(4 x 44)] - [(12 x 44)/(11 x 44)]
step 5 Simplify the expression to have common denominator:
= 33/44 - 48/44
step 6 Take the common values out and rewrite the above expression like the below:
= 1/44 x (33/1 - 48/1)
= 1/44 x (33 - 48)
step 7Simplify the above expression further:
= 1/44 x -15
= -15/44
3/4 - 12/11 = -15/44
Hence,
3/4 minus 12/11 as a fraction is -15/44.
3/4 - 12/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 12/11
What to be found?
(3/4)-(12/11) = ?
Find what's the difference between 3/4 and 12/11.
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 (12 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 11) and rewrite the equation as like the below:
= (3 x 11) - (12 x 4)/(4 x 11)
step 3 Simplify and rewrite the fraction:
= (33 - 48)/44
3/4 - 12/11 = -15/44
Hence,
3/4 minus 12/11 in fraction is -15/44