What is 4/3 minus 9/4 in fraction?
4/3 minus 9/4 equals to -11/12 in fraction form.
Learn how to find what is 4/3 minus 9/4 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 - 9/4 as a fraction and decimal.
Summary: 4/3 minus 9/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 4/3 and 9/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 3 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (4/3 x 12/12) - (9/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -11/12.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/4 from 4/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/3 minus 9/4.
1. LCM method
2. Cross multiplication method.
4/3-9/4 using LCM Method:
What is 4/3 minus 9/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 9/4
What to be found?
4/3-9/4 = ?
Find what's the difference between 4/3 and 9/4.
step 2 Compare the denominators of fractions 4/3 and 9/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/3 and 9/4 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 4/3 and 9/4:
The LCM of 3 and 4 is 12.
step 4 Write the fractions 4/3 and 9/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/3-9/4
=(4 x 12)/(3 x 12)-(9 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=16/12-27/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (16/1-27/1)
=1/12 x (16 - 27)
step 7Simplify the above expression further:
=1/12 x -11
=-11/12
4/3-9/4=-11/12
Hence,
4/3 minus 9/4 equals to -11/12 in fraction.
4/3-9/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 9/4
What to be found?
4/3-9/4 = ?
Find what's the difference between 4/3 and 9/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 4), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 4) and rewrite the equation as like the below:
= (4 x 4) - (9 x 3)/(3 x 4)
step 3 Simplify and rewrite the fraction:
= (16 - 27)/12
4/3-9/4 = -11/12
Hence,
4/3 minus 9/4 = -11/12