What is 9/4 minus 8/5 in fraction?
9/4 minus 8/5 equals to 13/20 in fraction form.
Learn how to find what is 9/4 minus 8/5 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 - 8/5 as a fraction and decimal.
Summary: 9/4 minus 8/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 8/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 4 and 5. Multiply the LCM 20 with all the numerators and denominators of both fractions (9/4 x 20/20) - (8/5 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 13/20.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/5 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 8/5.
1. LCM method
2. Cross multiplication method.
9/4-8/5 using LCM Method:
What is 9/4 minus 8/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/5
What to be found?
9/4-8/5 = ?
Find what's the difference between 9/4 and 8/5.
step 2 Compare the denominators of fractions 9/4 and 8/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 8/5 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 8/5:
The LCM of 4 and 5 is 20.
step 4 Write the fractions 9/4 and 8/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-8/5
=(9 x 20)/(4 x 20)-(8 x 20)/(5 x 20)
step 5 Simplify the expression to have common denominator:
=45/20-32/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (45/1-32/1)
=1/20 x (45 - 32)
step 7Simplify the above expression further:
=1/20 x 13
=13/20
9/4-8/5=13/20
Hence,
9/4 minus 8/5 equals to 13/20 in fraction.
9/4-8/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 8/5
What to be found?
9/4-8/5 = ?
Find what's the difference between 9/4 and 8/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 5), find the product of numerator of Fraction B and denominator of Fraction A (8 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 5) and rewrite the equation as like the below:
= (9 x 5) - (8 x 4)/(4 x 5)
step 3 Simplify and rewrite the fraction:
= (45 - 32)/20
9/4-8/5 = 13/20
Hence,
9/4 minus 8/5 = 13/20