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Ruth rode her bike for $3\frac{2}{3}$ miles on Wednesday. On Thursday, she biked $2$ times as far as on Wednesday. How many miles did Ruth bike on Thursday? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ miles

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Multiply mixed numbers: word problems

Full solution

Q. Ruth rode her bike for

3\frac{2}{3}

miles on Wednesday. On Thursday, she biked

2

times as far as on Wednesday. How many miles did Ruth bike on Thursday?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

miles

Convert to Improper Fraction: Step $1$ : Convert the mixed number to an improper fraction for easier calculation. $\newline$ $3 \frac{2}{3}$ miles = $\left(3 \times 3 + 2\right)/3 = \frac{11}{3}$ miles. $\newline$ Calculation: $3 \times 3 + 2 = 11$ , so $\frac{11}{3}$ miles.
Calculate Distance on Thursday: Step $2$ : Calculate the distance Ruth biked on Thursday, which is $2$ times the distance on Wednesday. $\newline$ Distance on Thursday = $2 \times \left(\frac{11}{3}\right) = \frac{22}{3}$ miles. $\newline$ Calculation: $2 \times \frac{11}{3} = \frac{22}{3}$ .

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