Question

2,4×1 5/12×1 7/17-3 1/7:1 4/7​

Answer 1

2,4×1 5/12×1 7/17-3 1/7:1 4/7​=24/10 * 17/12 * 24/17 - 22/7 : 11/7=24/5 - 22/7 * 7/11=24/5 - 2=24/5 - 10/5=14/5=2 4/5

Answer 2

Let's solve the expression step by step:

1. $2 \frac{4}{1} \times 1$ $= 2 \times \frac{4}{1} \times 1$ $= 2 \times 4$ $= 8$

2. $5 \frac{12}{17} \times 1$ First, convert the mixed number to an improper fraction: $= \frac{5 \times 17 + 12}{17} \times 1$ $= \frac{85 + 12}{17} \times 1$ $= \frac{97}{17} \times 1$ $= \frac{97}{17}$

3. $3 \frac{1}{7}$ $= \frac{3 \times 7 + 1}{7}$ $= \frac{21 + 1}{7}$ $= \frac{22}{7}$

4. $1 \frac{4}{7}$ $= \frac{1 \times 7 + 4}{7}$ $= \frac{7 + 4}{7}$ $= \frac{11}{7}$

5. Putting it all together: $8 + \frac{97}{17} - \frac{22}{7} : \frac{11}{7}$

Now, let's perform the operations:

1. Divide the fractions: $\frac{22}{7} : \frac{11}{7} = \frac{22}{7} \times \frac{7}{11} = \frac{2 \times 2}{1 \times 1} = \frac{4}{1} = 4$

2. Add and subtract the results: $8 + \frac{97}{17} - 4$

   Convert $8$ to a fraction with the common denominator of $17$: $= \frac{8 \times 17}{17} + \frac{97}{17} - 4$ $= \frac{136}{17} + \frac{97}{17} - 4$

   Combine the fractions: $= \frac{136 + 97}{17} - 4$ $= \frac{233}{17} - 4$

   Convert $4$ to a fraction with the denominator $17$: $= \frac{233}{17} - \frac{4 \times 17}{17}$ $= \frac{233}{17} - \frac{68}{17}$

   Subtract the fractions: $= \frac{233 - 68}{17}$ $= \frac{165}{17}$

So, the result of the expression $2 \frac{4}{1} \times 1 \frac{5}{12} \times 1 \frac{7}{17} - 3 \frac{1}{7} : 1 \frac{4}{7}$