Question

The width of stamp M is 4/3 inches, and the length is 7/5 inches. The dimensions of stamp M are 7/6 time the dimensions of stamp P What is the length of stamp P in inches

Answer 1

We know that

The width of stamp M is 4/3 inches, and the length is 7/5 inches.
so 
The width of stamp P is (4/3)/(7/6)------> 24/21 in-------> 8/7 in
The length of stamp P is (7/5)/(7/6)------> 42/35 in-------> 6/5 in

the answer is
The length of stamp P is  6/5 in

Answer 2

Answer:

• The length of stamp P is:

                      $\dfrac{6}{5}\ inches$

• The width of stamp P is:

             $\dfrac{8}{7}\ inches$

Step-by-step explanation:

It is given that:

The width of stamp M is 4/3 inches, and the length is 7/5 inches.

The dimensions of stamp M are 7/6 times the dimensions of stamp P.

i.e. if l and w represents the length and width respectively of stamp P.

and L and W represents the length and width respectively of stamp M.

Then we have:

$L=\dfrac{7}{6}l\\\\W=\dfrac{7}{6}w$

i.e.

$l=\dfrac{6}{7}L\\\\and\\\\w=\dfrac{6}{7}W$

Now, based on the question we have:

$L=\dfrac{7}{5}\ inches\\\\and\\\\W=\dfrac{4}{3}\ inches$

Hence, we get:

$l=\dfrac{6}{7}\times \dfrac{7}{5}\\\\l=\dfrac{6}{5}\ inches$

and

$w=\dfrac{6}{7}\times \dfrac{4}{3}\\\\w=\dfrac{8}{7}\ inches$