Evaluating the Expression: 5/6 x (-4 1/2) x (-2 1/5) as a Fraction
In this article, we will evaluate the expression 5/6 x (-4 1/2) x (-2 1/5) and simplify it as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To evaluate the expression, we need to convert the mixed numbers to improper fractions.
- -4 1/2 = -9/2
- -2 1/5 = -11/5
So, the expression becomes:
5/6 x (-9/2) x (-11/5)
Step 2: Multiply the Fractions
Now, we can multiply the fractions:
(5/6) × (-9/2) = -45/12
Multiply the result by -11/5:
(-45/12) × (-11/5) = 495/60
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 495 and 60 is 15. Divide both numbers by 15:
495 ÷ 15 = 33 60 ÷ 15 = 4
So, the simplified fraction is:
33/4
Therefore, the expression 5/6 x (-4 1/2) x (-2 1/5) simplifies to 33/4 as a fraction.
