What is 9/8 minus 3/5 in fraction?
9/8 minus 3/5 equals to 21/40 in fraction form.
Learn how to find what is 9/8 minus 3/5 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 3/5 as a fraction and decimal.
Summary: 9/8 minus 3/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/8 and 3/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 40 is the LCM of 8 and 5. Multiply the LCM 40 with all the numerators and denominators of both fractions (9/8 x 40/40) - (3/5 x 40/40) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 21/40.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/5 from 9/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/8 minus 3/5.
1. LCM method
2. Cross multiplication method.
9/8-3/5 using LCM Method:
What is 9/8 minus 3/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 3/5
What to be found?
9/8-3/5 = ?
Find what's the difference between 9/8 and 3/5.
step 2 Compare the denominators of fractions 9/8 and 3/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 3/5 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 9/8 and 3/5:
The LCM of 8 and 5 is 40.
step 4 Write the fractions 9/8 and 3/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/8-3/5
=(9 x 40)/(8 x 40)-(3 x 40)/(5 x 40)
step 5 Simplify the expression to have common denominator:
=45/40-24/40
step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (45/1-24/1)
=1/40 x (45 - 24)
step 7Simplify the above expression further:
=1/40 x 21
=21/40
9/8-3/5=21/40
Hence,
9/8 minus 3/5 equals to 21/40 in fraction.
9/8-3/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 3/5
What to be found?
9/8-3/5 = ?
Find what's the difference between 9/8 and 3/5.
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 (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 5) and rewrite the equation as like the below:
= (9 x 5) - (3 x 8)/(8 x 5)
step 3 Simplify and rewrite the fraction:
= (45 - 24)/40
9/8-3/5 = 21/40
Hence,
9/8 minus 3/5 = 21/40