229k views
4 votes
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!

1 Answer

3 votes

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

User Vearutop
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories