Question

0,09:m=2 2/3:1 7/9.СРОЧНООО

Answer 1

0,09 : m = 2 2/3 : 1 7/9

9/100 : m = 8/3 : 16/9 - это пропорция

m · 8/3 = 9/100 · 16/9 - свойство пропорции

m · 8/3 = 8/50

m = 8/50 : 8/3

m = 8/50 · 3/8

m = 3/50

m = 0,06

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Проверка:

0,09 : 0,06 = 8/3 : 16/9

1,5 = 8/3 · 9/16

1,5 = (1·3)/(1·2)

1,5 = 3/2

1,5 = 1,5

Answer 2

It seems like you want to solve the proportion 0.09 : m = 2 2/3 : 1 7/9. Let's find the value of 'm'.

To solve proportions, we can cross-multiply and then solve for the unknown variable. The proportion can be written as:

0.09 / m = (2 + 2/3) / (1 + 7/9)

First, let's convert the mixed numbers to improper fractions: 2 2/3 = (3 * 2 + 2) / 3 = 8/3 1 7/9 = (9 * 1 + 7) / 9 = 16/9

Now, the proportion becomes: 0.09 / m = 8/3 / 16/9

To divide by a fraction, we invert the second fraction and multiply: 0.09 / m = 8/3 * 9/16

Now, multiply the numerators and denominators: 0.09 / m = (8 * 9) / (3 * 16) = 72 / 48

To solve for 'm', we need to isolate it on one side of the equation. Multiply both sides by 'm': 0.09 = (72 / 48) * m

Now, divide both sides by (72 / 48): m = 0.09 / (72 / 48)

To divide by a fraction, invert the fraction and multiply: m = 0.09 * (48 / 72)

Now, multiply the numerators and denominators: m = (0.09 * 48) / 72 m = 4.32 / 72

Finally, divide 4.32 by 72 to get the value of 'm': m = 0.06

So, the value of 'm' in the proportion is 0.06.