Question

Please help me with this question!!

Answer 1

The correct result is 2 pounds per quart

Explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

`\displaystyle ((a)/(b))/( (c)/(d))`

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

`\displaystyle ((a)/(b))/( (c)/(d))=(a)/(b)\cdot (c)/(d)`

Jessie was dividing these two fractions:

`\displaystyle ((1)/(4)\ pounds)/( (1)/(8)\ quart)`

And got the incorrect result

`\displaystyle (1)/(32)\ \text{ pound per quart}`

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

`\displaystyle ((1)/(4))/( (1)/(8))=(1)/(4)\cdot (8)/(1)=(8)/(4)=2`

The correct result is 2 pounds per quart