Calculate the values of the following expressions:

$$\frac{2}{5}-\frac{4}{3}\cdot\left(-\frac{9}{8}\right)=$$

$$\frac{3}{5}-3+\frac{13}{6}=$$

The weight of the bottle with the cap is 104 g. The bottle is 100g heavier than the cap. What is the weight of the cap?

Calculate the value of the expression $$\frac{\frac{3}{2}\cdot\left[\sqrt[]{\left(57-8\right)}-24+8\right]+6}{\frac{1}{7}\cdot28-\frac{7}{2}}=$$

Calculate the ratios in percentages:

1) 22 out of 2000

2) 8 out of 20 miles

The scales are in balance. How heavy is each element?

What is the relationship between the following expressions? Arrange them from smallest to largest (e.g. A < B < C < D).

A) 10%; B) 0.550; C) 0.01; D) 125

A) $$\left(\frac{3}{4}\right)^2$$ ; B) $$\frac{3^2}{4}$$ ; C) $$\frac{3}{4^2}$$ ; D) $$\frac{3}{4}$$

When asked about her age, Ana replied: 'If you multiply my age by 99, add 208, and then subtract 99, you will get 1000'. How old is Ana?

Calculate the new price if the old price (60 EUR) is first increased by 15%, and then decreased by 5%.

Convert to decimal numbers:

1) $$1.5\%\ =$$

2) $$\frac{3}{15\ }=$$

What is the percentage increase/decrease if: the old price is 24 EUR, and the new price is 20.40 EUR?

What is the percentage increase/decrease if: the old price is 1.80 EUR, and the new price is 2.25 EUR?