Question

which is ? to Gavin estimateOption for the first tab: isis notEnter numeric answers as Mixed numbers in simplest form.

Answer 1

Given that the amount of red paint and the amount of yellow paint needed to make tangerine, are:

`\begin{gathered} 3(9)/(10)oz \\ \\ 3(3)/(8)oz \end{gathered}`

• You know that Gavin expects to have a total of:

`6(5)/(8)oz`

Since:

`(5)/(8)\approx0.6`

You know that the amount he expects to have is:

`\approx6.6oz`

Knowing that:

`\begin{gathered} 3(9)/(10)\approx4 \\ \\ 3(3)/(8)\approx3.4 \end{gathered}`

Therefore:

`3(9)/(10)oz+3(3)/(8)oz\approx7oz`

Hence, you can conclude that it is a reasonable expectation.

• Given the Addition:

`4+3(1)/(2)`

You can solve it as follows:

- Convert the Mixed Number to an Improper fraction by multiplying the whole number by the denominator and adding the result to the numerator. The denominator does not change:

`=4+((3\cdot2)+1)/(2)=4+(7)/(2)`

- Use this formula for adding fractions:

`(a)/(b)+(c)/(d)=(ad+bc)/(bd)`

Then:

`=((4\cdot2)+(1\cdot7))/(2)=(8+7)/(2)=(15)/(2)`

In order to write the Sum as a Mixed Number, you need to:

- Divide the numerator 15 by the denominator 2.

- The Quotient 7 will be the whole number

- The Remainder 1 will be the new numerator.

- The denominator does not change.

Then:

`(15)/(2)=7(1)/(2)`

Notice that it is close to his estimate.

Hence, the answers are:

- Gavin's expectation is reasonable.

- Estimation of the amount of paint made:

`4+3(1)/(2)=7.5`

- It is close to Gavin's estimate.