Math

Question Find the value of the expression (32)×(6)\left(-\frac{3}{2}\right) \times (-6).

Studdy Solution

STEP 1

Assumptions
1. We are multiplying two numbers: 32-\frac{3}{2} and 6-6.
2. The multiplication of two negative numbers results in a positive number.

STEP 2

First, we will convert the whole number 6-6 into a fraction to make the multiplication easier.
6=61-6 = \frac{-6}{1}

STEP 3

Now, we multiply the two fractions.
(32)×61\left(-\frac{3}{2}\right) \times \frac{-6}{1}

STEP 4

When multiplying fractions, we multiply the numerators together and the denominators together.
3×62×1\frac{-3 \times -6}{2 \times 1}

STEP 5

Calculate the product of the numerators.
3×6=18-3 \times -6 = 18

STEP 6

Calculate the product of the denominators.
2×1=22 \times 1 = 2

STEP 7

Write the result as a fraction.
182\frac{18}{2}

STEP 8

Simplify the fraction by dividing the numerator by the denominator.
182=9\frac{18}{2} = 9
The result of the multiplication is 99.

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