What is 9/5 minus 8/9 in fraction?
9/5 minus 8/9 equals to 41/45 in fraction form.
Learn how to find what is 9/5 minus 8/9 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 - 8/9 as a fraction and decimal.
Summary: 9/5 minus 8/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/5 and 8/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 45 is the LCM of 5 and 9. Multiply the LCM 45 with all the numerators and denominators of both fractions (9/5 x 45/45) - (8/9 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 41/45.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/9 from 9/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/5 minus 8/9.
1. LCM method
2. Cross multiplication method.
9/5-8/9 using LCM Method:
What is 9/5 minus 8/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 8/9
What to be found?
9/5-8/9 = ?
Find what's the difference between 9/5 and 8/9.
step 2 Compare the denominators of fractions 9/5 and 8/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/5 and 8/9 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 9/5 and 8/9:
The LCM of 5 and 9 is 45.
step 4 Write the fractions 9/5 and 8/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/5-8/9
=(9 x 45)/(5 x 45)-(8 x 45)/(9 x 45)
step 5 Simplify the expression to have common denominator:
=81/45-40/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (81/1-40/1)
=1/45 x (81 - 40)
step 7Simplify the above expression further:
=1/45 x 41
=41/45
9/5-8/9=41/45
Hence,
9/5 minus 8/9 equals to 41/45 in fraction.
9/5-8/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 8/9
What to be found?
9/5-8/9 = ?
Find what's the difference between 9/5 and 8/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 9), find the product of numerator of Fraction B and denominator of Fraction A (8 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (9 x 9) - (8 x 5)/(5 x 9)
step 3 Simplify and rewrite the fraction:
= (81 - 40)/45
9/5-8/9 = 41/45
Hence,
9/5 minus 8/9 = 41/45