Question

which fraction represents becca’s speed in miles per hou
\\(\frac{\frac{9}{10}}{\frac{3}{5}}\\)
what is becca’s speed in miles per hour?
\\(\frac{\frac{9}{10}}{\frac{3}{5}} = \\) \\(square\\)

Explanation:

Step1: Recall dividing fractions rule

To divide by a fraction, multiply by its reciprocal. So $\frac{\frac{9}{10}}{\frac{3}{5}}=\frac{9}{10}\times\frac{5}{3}$.

Step2: Simplify the multiplication

Simplify before multiplying: 9 and 3 have a common factor of 3, 5 and 10 have a common factor of 5. So $\frac{9\div3}{10\div5}\times\frac{5\div5}{3\div3}=\frac{3}{2}\times\frac{1}{1}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$ (or 1.5)