Question

- 4/5 : (-1 1/5)- 4/3 : (-1 5/6)4 : (-1 1/3)​

Answer 1

Ответ:

Пошаговое объяснение:

-4/5 : (-6/5) = -4/5 * (-5/6) = 4/6 = 2/3

-4/3 : (-11/6) = -4/3 * (-6/11) = 24/33 = 8/11

4 : (-4/3) = 4 * (-3/4) = -12/4 = -3

Answer 2

It seems like you've provided a series of mathematical expressions separated by colons. To solve this, let's break it down step by step:

1. $\frac{4}{5} : \left(-1 \frac{1}{5}\right)$

To divide a fraction by a mixed number, you first convert the mixed number to an improper fraction:

$-1 \frac{1}{5} = -\frac{6}{5}$

Then the division becomes:

$\frac{4}{5} \div \left(-\frac{6}{5}\right)$

Dividing by a fraction is the same as multiplying by its reciprocal, so:

$\frac{4}{5} \times \left(-\frac{5}{6}\right) = -\frac{4}{6} = -\frac{2}{3}$

2. $\frac{4}{3} : \left(-1 \frac{5}{6}\right)$

Again, convert the mixed number to an improper fraction:

$-1 \frac{5}{6} = -\frac{11}{6}$

Then the division becomes:

$\frac{4}{3} \div \left(-\frac{11}{6}\right)$

Dividing by a fraction is the same as multiplying by its reciprocal, so:

$\frac{4}{3} \times \left(-\frac{6}{11}\right) = -\frac{8}{11}$

3. $4 : \left(-1 \frac{1}{3}\right)$

Convert the mixed number to an improper fraction:

$-1 \frac{1}{3} = -\frac{4}{3}$

Then the division becomes:

$4 \div \left(-\frac{4}{3}\right)$

Dividing by a fraction is the same as multiplying by its reciprocal, so:

$4 \times \left(-\frac{3}{4}\right) = -3$

Putting it all together:

$-\frac{2}{3} : -\frac{8}{11} : -3$

To divide by a fraction, you multiply by its reciprocal, so:

$-\frac{2}{3} \times \left(-\frac{11}{8}\right) \times (-3)$

Simplifying the fractions gives:

$\frac{11}{12} \times (-3) = -\frac{11}{4}$