Solve 222/25:(25,344:3,6-5,24)

$$2 \frac { 22 } { 25 } : ( 25,344 : 3,6 - 5,24 )$$

Evaluate

$$1,6$$

Solution Steps

Multiply 2 and 25 to get 50.

$$\frac{\frac{50+22}{25}}{\frac{25,344}{3,6}-5,24}$$

Add 50 and 22 to get 72.

$$\frac{\frac{72}{25}}{\frac{25,344}{3,6}-5,24}$$

Expand \frac{25,344}{3,6} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{72}{25}}{\frac{25344}{3600}-5,24}$$

Reduce the fraction \frac{25344}{3600} to lowest terms by extracting and canceling out 144.

$$\frac{\frac{72}{25}}{\frac{176}{25}-5,24}$$

Convert decimal number 5,24 to fraction \frac{524}{100}. Reduce the fraction \frac{524}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{72}{25}}{\frac{176}{25}-\frac{131}{25}}$$

Since \frac{176}{25} and \frac{131}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{72}{25}}{\frac{176-131}{25}}$$

Subtract 131 from 176 to get 45.

$$\frac{\frac{72}{25}}{\frac{45}{25}}$$

Reduce the fraction \frac{45}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{72}{25}}{\frac{9}{5}}$$

Divide \frac{72}{25} by \frac{9}{5} by multiplying \frac{72}{25} by the reciprocal of \frac{9}{5}.

$$\frac{72}{25}\times \frac{5}{9}$$

Multiply \frac{72}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{72\times 5}{25\times 9}$$

Do the multiplications in the fraction \frac{72\times 5}{25\times 9}.

$$\frac{360}{225}$$

Reduce the fraction \frac{360}{225} to lowest terms by extracting and canceling out 45.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$