Question

Д) 1 2/7÷(-3/14)=г) -3/5×(-15)=​

Answer 1

A) 1 2/7 ÷ (-3/14) = 9/7 ÷ (-3/14) = -9/7 × 14/3 = -3 × 2 = -6

B) -3/5 × (-15) = 3 × 3 = 9

Answer 2

Д) 1 2/7 ÷ (-3/14) =

To divide a mixed number by a fraction, you can first convert the mixed number to an improper fraction and then perform the division.

1 2/7 is equivalent to (7 * 1 + 2)/7 = 9/7 as an improper fraction.

So, the equation becomes:

(9/7) ÷ (-3/14)

Now, when you divide by a fraction, you can multiply by its reciprocal (flipping the fraction):

(9/7) * (-14/3)

Now, multiply the numerators together and the denominators together:

(9 * -14) / (7 * 3) = -126/21

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(-126 ÷ 3) / (21 ÷ 3) = -42/7

г) -3/5 × (-15) =

To multiply a fraction by a whole number, you can simply multiply the numerator of the fraction by the whole number:

(-3/5) × (-15) = (3/5) × 15

Now, multiply the numerators together:

(3 × 15) / 5 = 45/5

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(45 ÷ 5) / (5 ÷ 5) = 9/1 = 9

So, г) -3/5 × (-15) = 9.