Question

Multiply

What is the product?

Enter your answer as a fraction, in simplified form, in the box.

Answer 1

`\left( -\cfrac{9}{12} \right)\cdot \cfrac{4}{5}\implies \left( -\cfrac{3\cdot 3}{3\cdot 4} \right)\cdot \cfrac{4}{5}\implies \left( -\cfrac{3}{3}\cdot \cfrac{3}{4} \right)\cdot \cfrac{4}{5}\implies \left( -1\cdot \cfrac{3}{4} \right)\cdot \cfrac{4}{5} \\\\\\ \left( -\cfrac{3}{4} \right)\cdot \cfrac{4}{5}\implies -\cfrac{3}{4} \cdot \cfrac{4}{5}\implies -\cfrac{3}{5} \cdot \cfrac{4}{4}\implies -\cfrac{3}{5} \cdot 1\implies -\cfrac{3}{5}`

Answer 2

`\boxed{\sf - (3)/(5)}`

Explanation:

To Multiply:

`\sf \left(-(9)/(12)\right) \cdot (4)/(5)`

Note:

The product of two numbers is the result of multiplying them together. Multiplication is one of the four basic arithmetic operations, along with addition, subtraction, and division.

Solution:

In this case, the two numbers are
`\sf -(9)/(12)` and
`\sf (4)/(5)`.

To multiply two fractions, we multiply the numerators and the denominators:

`\sf -\left((9)/(12)\right) \cdot (4)/(5) = - (9 \cdot 4)/(12 \cdot 5)`

`\sf = - (36)/(60)`

We can simplify the fraction by dividing the numerator and denominator by 12:

`\sf - (36)/(60) = - (36 / 12)/(60 / 12)`

`\sf = - (3)/(5)`

Therefore, the product is:

`\boxed{\sf - (3)/(5)}`