Solve 8/3*(7/3*4/3)+12/3=

$$\frac { 8 } { 3 } \cdot ( \frac { 7 } { 3 } \cdot \frac { 4 } { 3 } ) + \frac { 12 } { 3 } =$$

Evaluate

$$\frac{332}{27}\approx 12.296296296$$

Solution Steps

Multiply \frac{8}{3} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{3\times 3}\times \frac{4}{3}+\frac{12}{3}$$

Do the multiplications in the fraction \frac{8\times 7}{3\times 3}.

$$\frac{56}{9}\times \frac{4}{3}+\frac{12}{3}$$

Multiply \frac{56}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56\times 4}{9\times 3}+\frac{12}{3}$$

Do the multiplications in the fraction \frac{56\times 4}{9\times 3}.

$$\frac{224}{27}+\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$\frac{224}{27}+4$$

Convert 4 to fraction \frac{108}{27}.

$$\frac{224}{27}+\frac{108}{27}$$

Since \frac{224}{27} and \frac{108}{27} have the same denominator, add them by adding their numerators.

$$\frac{224+108}{27}$$

Add 224 and 108 to get 332.

$$\frac{332}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 83}{3 ^ {3}} = 12\frac{8}{27} = 12.296296296296296$$