Question

Jamie wants to run a total of 9 miles this week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9 to find how many more miles she needs to run. please help me!

Answer 1

She needs to run 4 3/8 miles

Step-by-step explanation:
`\begin{gathered} \text{Given:} \\ 4(5)/(8)\text{ + r = 9} \end{gathered}`

To solve for r, first we need to convert the mixed fraction to improper frction. Then we will subtract the fraction from both sides of the equation

`\begin{gathered} 4(5)/(8)\text{ = 37/8} \\ \\ (37)/(8)\text{ + r = 9} \\ \\ \text{substract }(37)/(8)\text{ from both sides:} \\ (37)/(8)\text{ -}(37)/(8)\text{+ r = 9}-(37)/(8) \\ \text{r = 9 }-(37)/(8) \\ \text{LCM is 8} \\ r\text{ = }\frac{8(9)\text{ - 37}}{8} \end{gathered}`
`\begin{gathered} r\text{ = }(72-37)/(8) \\ r\text{ = 35/8} \\ r\text{ = 4}(3)/(8) \end{gathered}`

She needs to run 4 3/8 miles