Nance is riding her bike to a friend’s house 4 and 1/2 miles away. she’s ridden 2 and 3/5 miles. how much farther does she need to ride. estimate, and then compute. explain how you know your answer is reasonable.

The answer is:

She still needs to ride

From the statement, we know that Nance's friend is 4 1/2 miles away and she only has ridden 2 3/5 miles.

So, let be "x" the distance that she still need to ride to get to her friend's house.

The equation will be:

Remember that:

Also, if we need to add/substract fractions we must remember that:

If we need to switch fractions to mixed numbers, we need to:

- Perform the division

- Keep the whole number and make a fraction with the aproximated next whole number (remainder) as numerator, and the original denominator. We need to use the remainder to approximate to the next whole number.

Where:

So,

Then, substituting the given information into the equation, we have:

So, she still need to ride

or

To prove if the answer is reasoable, let's substituite the obtained value into the equation and check if the equation is satisfied:

Have a nice day!