Solve 0.5*(7div12)*9*16

$$0.5 \times (7 \div 12) \times 9 \times 16$$

Evaluate

$$42$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{7}{12}\times 9\times 16$$

Multiply \frac{1}{2} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 12}\times 9\times 16$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 12}.

$$\frac{7}{24}\times 9\times 16$$

Express \frac{7}{24}\times 9 as a single fraction.

$$\frac{7\times 9}{24}\times 16$$

Multiply 7 and 9 to get 63.

$$\frac{63}{24}\times 16$$

Reduce the fraction \frac{63}{24} to lowest terms by extracting and canceling out 3.

$$\frac{21}{8}\times 16$$

Express \frac{21}{8}\times 16 as a single fraction.

$$\frac{21\times 16}{8}$$

Multiply 21 and 16 to get 336.

$$\frac{336}{8}$$

Divide 336 by 8 to get 42.

$$42$$

Factor

$$2\times 3\times 7$$