Solve 0.8div60*0.53*32=

$$0.8 \div 60 \times 0.53 \times 32=$$

Evaluate

$$\frac{424}{1875}\approx 0.226133333$$

Solution Steps

Expand \frac{0.8}{60} by multiplying both numerator and the denominator by 10.

$$\frac{8}{600}\times 0.53\times 32$$

Reduce the fraction \frac{8}{600} to lowest terms by extracting and canceling out 8.

$$\frac{1}{75}\times 0.53\times 32$$

Convert decimal number 0.53 to fraction \frac{53}{100}.

$$\frac{1}{75}\times \frac{53}{100}\times 32$$

Multiply \frac{1}{75} times \frac{53}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 53}{75\times 100}\times 32$$

Do the multiplications in the fraction \frac{1\times 53}{75\times 100}.

$$\frac{53}{7500}\times 32$$

Express \frac{53}{7500}\times 32 as a single fraction.

$$\frac{53\times 32}{7500}$$

Multiply 53 and 32 to get 1696.

$$\frac{1696}{7500}$$

Reduce the fraction \frac{1696}{7500} to lowest terms by extracting and canceling out 4.

$$\frac{424}{1875}$$

Factor

$$\frac{53 \cdot 2 ^ {3}}{3 \cdot 5 ^ {4}} = 0.22613333333333333$$