Solve 14/9*3quad26.22/5*5

$$1 \frac { 4 } { 9 } \times 3 \quad 26.2 \frac { 2 } { 5 } \times 5$$

Evaluate

$$\frac{1729}{3}\approx 576.333333333$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+4}{9}\times 3\times \frac{26.2\times 5+2}{5}\times 5$$

Add 9 and 4 to get 13.

$$\frac{13}{9}\times 3\times \frac{26.2\times 5+2}{5}\times 5$$

Express \frac{13}{9}\times 3 as a single fraction.

$$\frac{13\times 3}{9}\times \frac{26.2\times 5+2}{5}\times 5$$

Multiply 13 and 3 to get 39.

$$\frac{39}{9}\times \frac{26.2\times 5+2}{5}\times 5$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$\frac{13}{3}\times \frac{26.2\times 5+2}{5}\times 5$$

Multiply 26.2 and 5 to get 131.

$$\frac{13}{3}\times \frac{131+2}{5}\times 5$$

Add 131 and 2 to get 133.

$$\frac{13}{3}\times \frac{133}{5}\times 5$$

Multiply \frac{13}{3} times \frac{133}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 133}{3\times 5}\times 5$$

Do the multiplications in the fraction \frac{13\times 133}{3\times 5}.

$$\frac{1729}{15}\times 5$$

Express \frac{1729}{15}\times 5 as a single fraction.

$$\frac{1729\times 5}{15}$$

Multiply 1729 and 5 to get 8645.

$$\frac{8645}{15}$$

Reduce the fraction \frac{8645}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1729}{3}$$

Factor

$$\frac{7 \cdot 13 \cdot 19}{3} = 576\frac{1}{3} = 576.3333333333334$$