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

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

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Solution Steps

Step 1: Calculate 175×145 \frac{17}{5} \times \frac{14}{5}

To find the product of the fractions, we multiply the numerators and the denominators: 17×145×5=23825 \frac{17 \times 14}{5 \times 5} = \frac{238}{25}

Step 2: Calculate 134×174 \frac{13}{4} \times \frac{17}{4}

Similarly, we multiply the numerators and the denominators for this fraction: 13×174×4=22116 \frac{13 \times 17}{4 \times 4} = \frac{221}{16}

Step 3: Calculate 134×12 \frac{13}{4} \times \frac{1}{2}

For this multiplication, we again multiply the numerators and the denominators: 13×14×2=138 \frac{13 \times 1}{4 \times 2} = \frac{13}{8}

Final Answer

The results of the calculations are:

  1. 175×145=23825 \frac{17}{5} \times \frac{14}{5} = \frac{238}{25}
  2. 134×174=22116 \frac{13}{4} \times \frac{17}{4} = \frac{221}{16}
  3. 134×12=138 \frac{13}{4} \times \frac{1}{2} = \frac{13}{8}

Thus, the final answers are: 23825,22116,138 \boxed{\frac{238}{25}, \frac{221}{16}, \frac{13}{8}}

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