Question

Given negative five and one third times negative four and fifteen hundredths, determine the product.

negative twenty two and 2 over 15
twenty and 3 over 15
twenty two and 2 over fifteen
twenty and 1 over 20

Answer 1

The product of negative five and one third times negative four and fifteen hundredths is twenty-two and 2 over fifteen.

Step-by-step explanation:

To find the product of negative five and one third times negative four and fifteen hundredths, we need to multiply these two numbers. Remember that when two negative numbers multiply, the answer has a positive sign. First, we convert the mixed numbers to improper fractions:

Negative five and one third becomes -16/3 (because 5 × 3 + 1 = 16)

Negative four and fifteen hundredths becomes -415/100 (because 4 × 100 + 15 = 415)

Now we multiply these improper fractions:
(-16/3) × (-415/100) = (16 × 415) / (3 × 100) = 6640 / 300
After simplifying the fraction we get:

6640 / 300 = 22 and 2 over 15 which is the product.

Answer 2

300/300 =1

Step-by-step explanation:

Given negative five and one third times negative four and fifteen hundredths, determine the product.

`-5*(1)/(3) (-4)*(15)/(100)`

Let's convert all expressions into fractions:

`-5=-(5)/(1)`

`(1)/(3) (-4)=(1)/(3) *-(4)/(1) =-(4)/(3)`

`(15)/(100)`

Now, multiply all the terms:

`-(5)/(1) *-(4)/(3) *(15)/(100)`

Multiply the upper part first (numerators):

`-5*-4*15=300`

Multiply the lower part (denominators):

`1*3*100=300`

Join the numerator and denominator into a fraction:

`(300)/(300)=1`

Another way to represent what we did is the following:

`(-5*-4*15)/(1*3*100) =(300)/(300) =1`