Solve 1/3*22/72*3,5*3,5*12

$$\frac { 1 } { 3 } \cdot \frac { 22 } { 72 } \cdot 3,5 \cdot 3,5 \cdot 12$$

Evaluate

$$\frac{539}{36}\approx 14,972222222$$

Solution Steps

Reduce the fraction \frac{22}{72} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{11}{36}\times 3,5\times 3,5\times 12$$

Multiply \frac{1}{3} times \frac{11}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{3\times 36}\times 3,5\times 3,5\times 12$$

Do the multiplications in the fraction \frac{1\times 11}{3\times 36}.

$$\frac{11}{108}\times 3,5\times 3,5\times 12$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{108}\times \frac{7}{2}\times 3,5\times 12$$

Multiply \frac{11}{108} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 7}{108\times 2}\times 3,5\times 12$$

Do the multiplications in the fraction \frac{11\times 7}{108\times 2}.

$$\frac{77}{216}\times 3,5\times 12$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{77}{216}\times \frac{7}{2}\times 12$$

Multiply \frac{77}{216} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 7}{216\times 2}\times 12$$

Do the multiplications in the fraction \frac{77\times 7}{216\times 2}.

$$\frac{539}{432}\times 12$$

Express \frac{539}{432}\times 12 as a single fraction.

$$\frac{539\times 12}{432}$$

Multiply 539 and 12 to get 6468.

$$\frac{6468}{432}$$

Reduce the fraction \frac{6468}{432} to lowest terms by extracting and canceling out 12.

$$\frac{539}{36}$$

Factor

$$\frac{11 \cdot 7 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 14\frac{35}{36} = 14.972222222222221$$