Question

Hello for this particular problem can I change the final results to a whole number? or it is not possible?

Answer 1

We are asked which of the given combinations will produce a number that is less or equal to 25.

For A we have:

`A=3(8(3)/(4))`

Let's remember that for a mixed fraction we have:

`a(b)/(c)=a+(b)/(c)`

Therefore, we can change the mixed fraction and we get:

`A=3(8(3)/(4))=3(8+(3)/(4))`

Solving the operations:

`A=26.25`

Since we get a number greater than 25 this is not a trail he can ride.

For B we have:

`B=2(10(1)/(4))`

Changing the mixed fraction:

`B=2(10(1)/(4))=2(10+(1)/(4))`

To solve the operation we will apply the distributive property:

`B=20+2*(1)/(4)`

Now, we simplify the fraction:

`B=20+2*(1)/(4)=20+(1)/(2)`

Now, we use the fact that 1/2 = 0.5:

`B=20+(1)/(2)=20+0.5=20.5`

Since we get a number that is less than 25 this is a train he can ride.

For C we have:

`C=2(7(1)/(2))+10(1)/(4)`

Changing the mixed fraction:

`C=2(7+(1)/(2))+10+(1)/(4)`

Now, we apply the distributive property:

`C=14+1+10+(1)/(4)`

Solving the operations. We use the fact that 1/4 = 0.25:

`C=25+0.25=25.25`

Since we get a number greater than 25 this is not a trail he can ride.

For D.

`D=7(1)/(2)+2(8(3)/(4))`

Now, we change the mixed fractions:

`D=7+(1)/(2)+2(8+(3)/(4))`

Now, we use the distributive property:

`D=7+(1)/(2)+16+2*(3)/(4)`

Simplifying the fraction:

`D=7+(1)/(2)+16+(3)/(2)`

Now, we add the fractions, we have into account that when fractions have the same denominator we can add the numerators and use the common denominator, like this:

`D=7+(4)/(2)+16`

Simplifying the fraction we get:

`D=7+2+16`

Solving the operations:

`D=25`

Since we get 25 this is a trail that he can ride.