Questions: 17/5 × 14/5 = 238/55 13/4 × 17/4 = 291/4 13/4 × 1/2 = 26/9

Transcript text: \[ \frac{17}{5} \times \frac{14}{5}=\frac{238}{55} \] $\frac{13}{4} \times \frac{17}{4}=\frac{291}{4}$ $\frac{13}{4} \times \frac{1}{2}=\frac{26}{9}$

Solution

Solution Steps

Step 1: Calculate $ \frac{17}{5} \times \frac{14}{5} $

To find the product of the fractions, we multiply the numerators and the denominators: \[ \frac{17 \times 14}{5 \times 5} = \frac{238}{25} \]

Step 2: Calculate $ \frac{13}{4} \times \frac{17}{4} $

Similarly, we multiply the numerators and the denominators for this fraction: \[ \frac{13 \times 17}{4 \times 4} = \frac{221}{16} \]

Step 3: Calculate $ \frac{13}{4} \times \frac{1}{2} $

For this multiplication, we again multiply the numerators and the denominators: \[ \frac{13 \times 1}{4 \times 2} = \frac{13}{8} \]

Final Answer

The results of the calculations are:

$ \frac{17}{5} \times \frac{14}{5} = \frac{238}{25} $
$ \frac{13}{4} \times \frac{17}{4} = \frac{221}{16} $
$ \frac{13}{4} \times \frac{1}{2} = \frac{13}{8} $

Thus, the final answers are: \[ \boxed{\frac{238}{25}, \frac{221}{16}, \frac{13}{8}} \]

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