Question

А)2/3:(-5/7) б)-3/4:4/7 в) -7/15:(-2)

Answer 1

Ответ:

$\frac{2}{3} \div ( - \frac{5}{7} ) = - \frac{2}{3 } \times \frac{7}{5} = - \frac{14}{15}$

$- \frac{3}{4} \div \frac{4}{7} = - \frac{3}{4} \times \frac{7}{4} = - \frac{21}{16} = - 1 \ \frac{5}{16}$

$- \frac{7}{15 } \div ( - 2) = \frac{7}{15} \times \frac{1}{2} = \frac{7}{30}$

Answer 2

Let's solve each of the expressions step by step:

a) To divide a fraction by another fraction, you need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have:

2/3 : (-5/7)

To find the reciprocal of (-5/7), we invert the fraction by swapping the numerator and the denominator:

Reciprocal of (-5/7) = (-7/5)

Now we can multiply the first fraction by the reciprocal:

2/3 * (-7/5) = (2 * -7) / (3 * 5) = -14/15

Therefore, 2/3 : (-5/7) = -14/15.

b) Similar to the previous example, we'll multiply the first fraction by the reciprocal of the second fraction:

-3/4 : 4/7

Reciprocal of (4/7) = (7/4)

Multiplying the first fraction by the reciprocal gives us:

-3/4 * 7/4 = (-3 * 7) / (4 * 4) = -21/16

So, -3/4 : 4/7 = -21/16.

c) Again, we'll multiply the fraction by the reciprocal:

-7/15 : (-2)

Reciprocal of (-2) = (-1/2)

Multiplying the first fraction by the reciprocal:

-7/15 * (-1/2) = (7 * 1) / (15 * 2) = 7/30

Thus, -7/15 : (-2) = 7/30.

Therefore, the results are:

a) 2/3 : (-5/7) = -14/15 b) -3/4 : 4/7 = -21/16 c) -7/15 : (-2) = 7/30