Solve 56div0.3*(0.74-0.58)

$$56 \div 0.3 \times ( 0.74 - 0.58 )$$

Evaluate

$$\frac{448}{15}\approx 29.866666667$$

Solution Steps

Expand \frac{56}{0.3} by multiplying both numerator and the denominator by 10.

$$\frac{560}{3}\left(0.74-0.58\right)$$

Subtract 0.58 from 0.74 to get 0.16.

$$\frac{560}{3}\times 0.16$$

Convert decimal number 0.16 to fraction \frac{16}{100}. Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$\frac{560}{3}\times \frac{4}{25}$$

Multiply \frac{560}{3} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{560\times 4}{3\times 25}$$

Do the multiplications in the fraction \frac{560\times 4}{3\times 25}.

$$\frac{2240}{75}$$

Reduce the fraction \frac{2240}{75} to lowest terms by extracting and canceling out 5.

$$\frac{448}{15}$$

Factor

$$\frac{7 \cdot 2 ^ {6}}{3 \cdot 5} = 29\frac{13}{15} = 29.866666666666667$$