Question

Please help!! I need an answer and explain, please and thanks!

Answer 1

Speed of the van = 64 7/8 mph

Speed of airplane = 5 6/7 x speed of the van

Speed of the airplane= ?

Since the speed of the airplane is 5 6/7 times the speed of the van, the speed of airplane is:

Speed of airplane =

`5\text{ }(6)/(7)\cdot64(7)/(8)`

First we need to convert the mixed fractions into simple form before we can multiply the two.

In converting mixed fractions to simple form, first we copy the denominator then we get the (new) numerator by multiplying the denominator and the mixed number and adding the (previous) numerator.

Here, Numerator = 7 x 5 + 6 (denominator x mixed number + numerator)

Numerator = 8 x 64 +7 (denominator x mixed number + numerator)

`5(6)/(7)=(7\cdot5+6)/(7)=(41)/(7)`
`64(7)/(8)=(8\cdot64+7)/(8)=(519)/(8)`

Now that we have converted the fractions into simple form, we can proceed to multiplication. To do this we multiply the numerator by the numerator, and the denominator by the denominator.

`(41)/(7)\cdot(519)/(8)=(21,279)/(56)=379(55)/(56)`

Notice that we convert the answer back to mixed form. To do that, e just divide the numerator by the denominator. The whoe number in the quotient will be the mixed number , the denominator is as it is and the remainder is your numerator.

Answer:

Speed of Airplane =

`(21279)/(56)mph=379(55)/(56)\text{mph}=\text{ 379.98 mph}`