William is putting up signs on the edge of the road every 1/16 of a mile. He just put a sign down and he has 7/8 of a mile of road left in which to place his signs. He wants to determine how many more signs he should put on the edge of the road.
William should put up ___?___ more signs.



Answer :

14 more signs because 2/16 of a mile is = to 1/8 of a mile.

Answer:

Hi!

The answer is: William needs to put 14 signs more.

Step-by-step explanation:

To solve this problem, you can use the rule of three.

     1/16 ----> 1 sign  // If for every 1/16 miles needs is 1 sign.

     7/8 ----> x signs  // then 7/8 miles will need x signs.

Now, multiply 7/8 by 1 and divide the result by 1/16:

[tex]\frac{\frac{7}{8}*1}{\frac{1}{16}} [/tex]

[tex]\frac{\frac{7}{8}}{\frac{1}{16}} = \frac{7}{8}\div\frac{1}{16}[/tex]  // reverse the numerator and denominator of the second fraction and multiply.

[tex]\frac{7*16}{8*1} [/tex]

[tex]\frac{112}{8} = 14[/tex]

William should put up 14 more signs.