Solve 1div3*(3div8+1div6+4div9)

$$1 \div 3 \times (3 \div 8+1 \div 6+4 \div 9)$$

Evaluate

$$\frac{71}{216}\approx 0.328703704$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{1}{3}\left(\frac{9}{24}+\frac{4}{24}+\frac{4}{9}\right)$$

Since \frac{9}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}\left(\frac{9+4}{24}+\frac{4}{9}\right)$$

Add 9 and 4 to get 13.

$$\frac{1}{3}\left(\frac{13}{24}+\frac{4}{9}\right)$$

Least common multiple of 24 and 9 is 72. Convert \frac{13}{24} and \frac{4}{9} to fractions with denominator 72.

$$\frac{1}{3}\left(\frac{39}{72}+\frac{32}{72}\right)$$

Since \frac{39}{72} and \frac{32}{72} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}\times \frac{39+32}{72}$$

Add 39 and 32 to get 71.

$$\frac{1}{3}\times \frac{71}{72}$$

Multiply \frac{1}{3} times \frac{71}{72} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 71}{3\times 72}$$

Do the multiplications in the fraction \frac{1\times 71}{3\times 72}.

$$\frac{71}{216}$$

Factor

$$\frac{71}{2 ^ {3} \cdot 3 ^ {3}} = 0.3287037037037037$$