Question

The scale of Miguel's dollhouse is 1in.=2 2/7ft. If the pants of the military uniform of the father in the dollhouse are 1 2/5 inches long, how long would the pants be in real life?

Answer 1

3⅕ ft

Explanation:

1 in --> 2 2/7 ft

2 2/7 = 16/7

1 2/5 in = 7/5 in

7/5 × 16/7 = 16/5 ft

3 1/5 ft

Answer 2

3 1/5 ft

Explanation:

We can set up a proportion:

`(1)/(2(2)/(7) ) =(1(2)/(5) )/(x)` , where x is how long the pants are in real life

Cross multiply:

x = (2 2/7) * (1 2/5)

It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:

2 2/7 = 16/7

1 2/5 = 7/5

Now, put these back in:

x = (16/7) * (7/5) = 16/5 = 3 1/5

Thus, in real life, the pants would be 3 1/5 ft long.

Hope this helps!