16/3 - 9 as a fraction

Learn how to find what is 16/3 minus 9 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 - 9 as a fraction and decimal.

Summary: 16/3 minus 9 = -11/3
Since both fractions have unequal denominators, 16/3 minus 9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (16/3 x 3/3) - (9 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 16/3 and for 9 is 27/3. By simplifying this fraction subtraction 16/3 - 27/3, it becomes -11/3.

CALCULATION: 16/3 - 9 as a fraction
16/3 - 9 = (?)
16/3 - 9/1 = [(16 x 1) - (9 x 3)]/(3 x 1)
= (16 - 27)/3
= -11/3
16/3 - 9 = -11/3
16/3 minus 9 as a fraction is -11/3.

where
16/3 is a improper fraction as a minuend,
9 is a whole number as a subtrahend,
-11/3 is the difference between 16/3 and 9.

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16/3 minus 9 as a decimal
16/3 - 9 = -11/3
-11/3 = -3.6667
(16/3) - (9) as a decimal is -3.6667

where
-3.6667 is the difference between 16/3 and 9.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 9 from 16/3. use any one of the following methods to find the equivalent fraction for 16/3 minus 9.
1. LCM method
2. Cross multiplication method.

(16/3) - (9) using LCM Method:
What is 16/3 minus 9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 9/1

What to be found?
(16/3) - (9) = ?
Find what's the difference between 16/3 and 9.

step 2 Compare the denominators of fractions 16/3 and 9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/3 and 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 16/3 and 9:
The LCM of 3 and 1 is 3.

step 4 Write the fractions 16/3 and 9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 - 9
= [(16 x 3)/(3 x 3)] - [(9 x 3)/(1 x 3)]

step 5 Simplify the expression to have common denominator:
= 16/3 - 27/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (16/1 - 27/1)
= 1/3 x (16 - 27)

step 7Simplify the above expression further:
= 1/3 x -11
= -11/3
16/3 - 9 = -11/3

Hence,
16/3 minus 9 as a fraction is -11/3.

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16/3 - 9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 9/1

What to be found?
(16/3)-(9) = ?
Find what's the difference between 16/3 and 9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (16 x 1) - (9 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (16 - 27)/3
16/3 - 9 = -11/3

Hence,
16/3 minus 9 in fraction is -11/3