Solve 0,3*(23,92:(28-18,81+5,88)

$$0,3 \cdot ( 23,92 : ( 28 - 18,81 + 5,88 )$$

Evaluate

$$\frac{3588}{7535}\approx 0,476177837$$

Solution Steps

Subtract 18,81 from 28 to get 9,19.

$$0,3\times \frac{23,92}{9,19+5,88}$$

Add 9,19 and 5,88 to get 15,07.

$$0,3\times \frac{23,92}{15,07}$$

Expand \frac{23,92}{15,07} by multiplying both numerator and the denominator by 100.

$$0,3\times \frac{2392}{1507}$$

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$\frac{3}{10}\times \frac{2392}{1507}$$

Multiply \frac{3}{10} times \frac{2392}{1507} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2392}{10\times 1507}$$

Do the multiplications in the fraction \frac{3\times 2392}{10\times 1507}.

$$\frac{7176}{15070}$$

Reduce the fraction \frac{7176}{15070} to lowest terms by extracting and canceling out 2.

$$\frac{3588}{7535}$$

Factor

$$\frac{3 \cdot 13 \cdot 23 \cdot 2 ^ {2}}{5 \cdot 11 \cdot 137} = 0.4761778367617784$$