Solve 1.56div0.3*(0.74-0.58)

$$1.56 \div 0.3 \times ( 0.74 - 0.58 )$$

Evaluate

$$0.832$$

Solution Steps

Expand \frac{1.56}{0.3} by multiplying both numerator and the denominator by 100.

$$\frac{156}{30}\left(0.74-0.58\right)$$

Reduce the fraction \frac{156}{30} to lowest terms by extracting and canceling out 6.

$$\frac{26}{5}\left(0.74-0.58\right)$$

Subtract 0.58 from 0.74 to get 0.16.

$$\frac{26}{5}\times 0.16$$

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.

$$\frac{26}{5}\times \frac{4}{25}$$

Multiply \frac{26}{5} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26\times 4}{5\times 25}$$

Do the multiplications in the fraction \frac{26\times 4}{5\times 25}.

$$\frac{104}{125}$$

Factor

$$\frac{13 \cdot 2 ^ {3}}{5 ^ {3}} = 0.832$$