Question

4 1/2 ounces per 3/4 miles _____ ounces per 1 mile

Answer 1

Answer: 6

Step-by-step explanation:

To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.

$\frac{3}{4}$×$\frac{4}{3} =1$

We need to multiply the 4 1/2 ounces by 4/3 too

$4\frac{1}{2}$×$\frac{4}{3} =6$

4 1/2 ounces per 3/4 miles

6 ounces per 1 mile

Answer 2

Answer:

6 ounces

Step-by-step explanation:

Let the unknown number be x

$4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile$

Now simply use cross multiplication to solve it

$4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4}$

Now make x as the Subject

$\frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x$

So the answer is

6 ounces