Question

(−3 2/7):(−10 1/7)= ............................................

Answer 1

Ответ:

(-3 2/7)÷(-10 1/7)=23/7*7/71=23/71.

Answer 2

To divide two mixed numbers, you can follow these steps:

1. Convert both mixed numbers to improper fractions.
2. Divide the first improper fraction by the second improper fraction.
3. Simplify the result if necessary.

Let's calculate it:

1. Convert the mixed numbers to improper fractions:

   • $-3 \frac{2}{7}$ as an improper fraction is $-\frac{23}{7}$
   • $-10 \frac{1}{7}$ as an improper fraction is $-\frac{71}{7}$

2. Divide the first improper fraction by the second improper fraction: $-\frac{23}{7} \div -\frac{71}{7}$

3. When you divide by a fraction, you can multiply by its reciprocal (flipping the numerator and denominator): $-\frac{23}{7} \cdot \frac{-7}{71}$

Now, multiply the numerators and denominators: $\frac{23 \cdot 7}{7 \cdot 71}$

4. Simplify the result: $23 \cdot 7 = 161$ $7 \cdot 71 = 497$

So, $\frac{23 \cdot 7}{7 \cdot 71} = \frac{161}{497}$

Therefore, $-3 \frac{2}{7} : -10 \frac{1}{7} = \frac{161}{497}$.