Solve 10*55/9*216/25

$$10 \cdot 5 \frac { 5 } { 9 } \times 2 \frac { 16 } { 25 }$$

Evaluate

$$\frac{440}{3}\approx 146.666666667$$

Solution Steps

Multiply 5 and 9 to get 45.

$$10\times \frac{45+5}{9}\times \frac{2\times 25+16}{25}$$

Add 45 and 5 to get 50.

$$10\times \frac{50}{9}\times \frac{2\times 25+16}{25}$$

Express 10\times \frac{50}{9} as a single fraction.

$$\frac{10\times 50}{9}\times \frac{2\times 25+16}{25}$$

Multiply 10 and 50 to get 500.

$$\frac{500}{9}\times \frac{2\times 25+16}{25}$$

Multiply 2 and 25 to get 50.

$$\frac{500}{9}\times \frac{50+16}{25}$$

Add 50 and 16 to get 66.

$$\frac{500}{9}\times \frac{66}{25}$$

Multiply \frac{500}{9} times \frac{66}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{500\times 66}{9\times 25}$$

Do the multiplications in the fraction \frac{500\times 66}{9\times 25}.

$$\frac{33000}{225}$$

Reduce the fraction \frac{33000}{225} to lowest terms by extracting and canceling out 75.

$$\frac{440}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 11}{3} = 146\frac{2}{3} = 146.66666666666666$$