Question

James has a piece of construction paper with a length of 9/10 foot and a width of 2/3 foot.What is the area of James's piece of construction paper?Enter your answer as a fraction in simplest form

Answer 1

We have a piece of construction paper with the dimensions shown in the following diagram:

To find the area of the paper, we need to multiply the with and the length:

`\text{area}=\text{width}\cdot\text{length}`

In this case:

`\text{area}=(2)/(3)ft*(9)/(10)ft`

To multiply fractions, we use the following rule:

`(a)/(b)*(c)/(d)=(a* c)/(b* d)`

Applying this to our expression:

`\text{area}=(2*9)/(3*10)ft^2`

The result is:

`\text{area}=(18)/(30)ft^2`

We need to represent this result as a fraction in the simplest form, so we divide both numbers (18 and 30) by its greatest common denominator which is 6:

`\text{area}=((18)/(6))/((30)/(6))ft^2`

The final result is:

`\text{area=}(3)/(5)ft^2`

Answer:

`(3)/(5)ft^2`