Solve 1/3(1/2*15*9)9

$$\frac{ 1 }{ 3 } ( \frac{ 1 }{ 2 } \times 15 \times 9)9$$

Evaluate

$$\frac{405}{2}=202.5$$

Solution Steps

Multiply \frac{1}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 2}\times 15\times 9\times 9$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 2}.

$$\frac{1}{6}\times 15\times 9\times 9$$

Multiply \frac{1}{6} and 15 to get \frac{15}{6}.

$$\frac{15}{6}\times 9\times 9$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}\times 9\times 9$$

Express \frac{5}{2}\times 9 as a single fraction.

$$\frac{5\times 9}{2}\times 9$$

Multiply 5 and 9 to get 45.

$$\frac{45}{2}\times 9$$

Express \frac{45}{2}\times 9 as a single fraction.

$$\frac{45\times 9}{2}$$

Multiply 45 and 9 to get 405.

$$\frac{405}{2}$$

Factor

$$\frac{3 ^ {4} \cdot 5}{2} = 202\frac{1}{2} = 202.5$$