What is 9/4 minus 5/2 in fraction?
9/4 minus 5/2 equals to -1/4 in fraction form.
Learn how to find what is 9/4 minus 5/2 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 5/2 as a fraction and decimal.
Summary: 9/4 minus 5/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 5/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 4 is the LCM of 4 and 2. Multiply the LCM 4 with all the numerators and denominators of both fractions (9/4 x 4/4) - (5/2 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/4.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/2 from 9/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/4 minus 5/2.
1. LCM method
2. Cross multiplication method.
9/4-5/2 using LCM Method:
What is 9/4 minus 5/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 5/2
What to be found?
9/4-5/2 = ?
Find what's the difference between 9/4 and 5/2.
step 2 Compare the denominators of fractions 9/4 and 5/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 5/2 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 9/4 and 5/2:
The LCM of 4 and 2 is 4.
step 4 Write the fractions 9/4 and 5/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-5/2
=(9 x 4)/(4 x 4)-(5 x 4)/(2 x 4)
step 5 Simplify the expression to have common denominator:
=9/4-10/4
step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (9/1-10/1)
=1/4 x (9 - 10)
step 7Simplify the above expression further:
=1/4 x -1
=-1/4
9/4-5/2=-1/4
Hence,
9/4 minus 5/2 equals to -1/4 in fraction.
9/4-5/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 5/2
What to be found?
9/4-5/2 = ?
Find what's the difference between 9/4 and 5/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 2), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 2) and rewrite the equation as like the below:
= (9 x 2) - (5 x 4)/(4 x 2)
step 3 Simplify and rewrite the fraction:
= (18 - 20)/8
= -2/8
= -1/4
9/4-5/2 = -1/4
Hence,
9/4 minus 5/2 = -1/4