What is 9 - 9/20 in fraction?
9 - 9/20 equals to 171/20 in fraction form.
Learn how to find what is 9 minus 9/20 in fraction form just in a few minutes. We have covered the easiest method to write 9 - 9/20 as a fraction and decimal.
Summary: 9 minus 9/20 = 171/20
Since both fractions have unequal denominators, 9 minus 9/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9 and fraction 9/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 20. 20 is the LCM of 1 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (9 x 20/20) - (9/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 9 is 180/20 and for 9/20 is 9/20. By simplifying this fraction subtraction 180/20 - 9/20, it becomes 171/20.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/20 from 9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9 minus 9/20.
1. LCM method
2. Cross multiplication method.
(9) - (9/20) using LCM Method:
What is 9 minus 9/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 9/20
What to be found?
(9) - (9/20) = ?
Find what's the difference between 9 and 9/20.
step 2 Compare the denominators of fractions 9 and 9/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9 and 9/20 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 and 9/20:
The LCM of 1 and 20 is 20.
step 4 Write the fractions 9 and 9/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9 - 9/20
= [(9 x 20)/(1 x 20)] - [(9 x 20)/(20 x 20)]
step 5 Simplify the expression to have common denominator:
= 180/20 - 9/20
step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (180/1 - 9/1)
= 1/20 x (180 - 9)
step 7Simplify the above expression further:
= 1/20 x 171
= 171/20
9 - 9/20 = 171/20
Hence,
9 minus 9/20 as a fraction is 171/20.
9 - 9/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 9/20
What to be found?
(9)-(9/20) = ?
Find what's the difference between 9 and 9/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 20), find the product of numerator of Fraction B and denominator of Fraction A (9 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 20) and rewrite the equation as like the below:
= (9 x 20) - (9 x 1)/(1 x 20)
step 3 Simplify and rewrite the fraction:
= (180 - 9)/20
9 - 9/20 = 171/20
Hence,
9 minus 9/20 in fraction is 171/20