Given
7 1/4 miles in 2 hours
8 7/10 miles in x hours
We find the rate:
[tex]\frac{7\frac{1}{4}}{2}=\frac{\frac{29}{4}}{2}=\frac{29}{4\times2}=\frac{29}{8}=3.625[/tex]
This is 3.625 miles in 1 hour.
Next,
[tex]8\frac{7}{10}=\frac{87}{10}=8.7[/tex]
This is 8.7 miles.
Therefore, an equivalent rate is as follows:
Both sides of the equation must be equal. So, multiply the numerator and denominator by 2.4.
[tex]\frac{3.625\times2.4}{1\times2.4}=\frac{8.7}{2.4}[/tex]
Answer:
[tex]\frac{3.625\text{ miles }\times2.4}{1\text{ hour}\times2.4}=\frac{8.7\text{ miles}}{2.4\text{ hours}}[/tex]
