Question

Brad plans to bike 15 3/4 miles. he has gone 2/3 of the entire distance. how far has he gone?

Answer 1

To find out how far Brad has gone, we need to find two-thirds of the total distance of 15 3/4 miles. Brad has gone 10 1/2 miles.

Step-by-step explanation:

To find out how far Brad has gone, we need to find two-thirds of the total distance of 15 3/4 miles. To do this, we multiply the total distance by 2/3:

Distance gone = 15 3/4 × 2/3

To multiply a whole number by a fraction, we convert the whole number into an improper fraction first:

15 3/4 = 63/4

Now we multiply:

Distance gone = 63/4 × 2/3

Multiplying the numerators gives us 126 and the denominators give us 12. So, the final answer is:

Distance gone = 126/12 = 10 1/2 miles

Therefore, Brad has gone 10 1/2 miles.

Answer 2

It'll be easier doing this as improper fractions.
15 3/4= 63/4

To find a fraction of another number, we have to multiply them

(2/3)(63/4)
126/12

Then, we want to make this a mixed number again so it's easier to tell what 126/12 actually means.

126/12 = 10 6/12 = 10 1/2

In conclusion, Brad has gone 10 1/2 miles