Question

Ms.Jones bought a piece of cloth measuring 3 3/4 meters by 2 2/7. She bought the cloth at $14 per square meter. How much did Ms.Jones pay for the cloth?

Answer 1

$120

Explanation:

1) rewrite the mixed numbers into improper fractions. We do this by multiplying the denominator by the whole number, and then adding the numerator. The numerator stays the same:

`3 (3)/(4) = ((4 * 3) + 3)/(4) = (15)/(4)`

`2 \ (2)/(7) = ((7 * 2) + 2)/(7) = (16)/(7)`

So the length of the cloth = 15/4 meters

width of the cloth = 16/7 meters

2) Calculate the area of the cloth:

area = length × width

`area \: = \: (15)/(4) * (16)/(7) = (240)/(28) = (60)/(7) (simplest form)`

area = 60/7 m²

3) The cloth costs $14 per square meter, so the total cost of the cloth is:

the area of the cloth × cost of cloth per square meter

`cost \: = \: (60)/(7) * 14 = (840)/(7) = 120`

the cost is $120