Question

Please help me with this question!!

Answer 1

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

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

$\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}$

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

$\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}$

Jessie was dividing these two fractions:

$\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}$

And got the incorrect result

$\displaystyle \frac{1}{32}\ \text{ pound per quart}$

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

The correct operation is:

$\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2$

The correct result is 2 pounds per quart