Question

(-9\28)×(-15 5\9)÷5​

Answer 1

Ответ:

$\frac{ - 9 \times - 140}{28 \times 9} = 5$

$5 \div 5 = 1$

Answer 2

To calculate the expression (-9/28) × (-15 5/9) ÷ 5, you can follow these steps:

Step 1: Convert the mixed number (-15 5/9) to an improper fraction.

To do this, multiply the whole number (-15) by the denominator (9) and then add the numerator (5):

(-15 × 9) + 5 = -135 + 5 = -130

So, (-15 5/9) is equivalent to -130/9 as an improper fraction.

Now, the expression becomes:

(-9/28) × (-130/9) ÷ 5

Step 2: Multiply the fractions (-9/28) and (-130/9).

To multiply fractions, multiply the numerators together and the denominators together:

((-9) × (-130)) / ((28) × (9))

= (1170) / (252)

Step 3: Divide the result by 5.

To divide a fraction by a whole number, you can simply divide the numerator by that number:

(1170 / 252) ÷ 5 = (1170 / 252) × (1/5)

Now, multiply the fractions:

(1170 × 1) / (252 × 5) = 1170 / 1260

Step 4: Simplify the fraction, if possible.

Both the numerator and denominator share a common factor of 30, so divide both by 30:

(1170 ÷ 30) / (1260 ÷ 30) = 39/42

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

(39 ÷ 3) / (42 ÷ 3) = 13/14

So, (-9/28) × (-15 5/9) ÷ 5 simplifies to 13/14.