Solve 5*3/15*8+3/2/frac{3{6}*15(x*5)}*10^3(55-15.3)

$$\frac { \frac { 5 \times 3 } { 15 } \times \frac { 8 + 3 } { 2 } } { \frac { 3 } { 6 } \times 15 ( x \times 5 ) } \times 10 ^ { 3 } ( 55 - 15.3 )$$

Evaluate

$$\frac{17468}{3x}$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{\frac{15}{15}\times \frac{8+3}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Divide 15 by 15 to get 1.

$$\frac{1\times \frac{8+3}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Add 8 and 3 to get 11.

$$\frac{1\times \frac{11}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Multiply 1 and \frac{11}{2} to get \frac{11}{2}.

$$\frac{\frac{11}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{11}{2}}{\frac{1}{2}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Multiply \frac{1}{2} and 15 to get \frac{15}{2}.

$$\frac{\frac{11}{2}}{\frac{15}{2}x\times 5}\times 10^{3}\left(55-15.3\right)$$

Express \frac{15}{2}\times 5 as a single fraction.

$$\frac{\frac{11}{2}}{\frac{15\times 5}{2}x}\times 10^{3}\left(55-15.3\right)$$

Multiply 15 and 5 to get 75.

$$\frac{\frac{11}{2}}{\frac{75}{2}x}\times 10^{3}\left(55-15.3\right)$$

Express \frac{\frac{11}{2}}{\frac{75}{2}x} as a single fraction.

$$\frac{11}{2\times \frac{75}{2}x}\times 10^{3}\left(55-15.3\right)$$

Cancel out 2 and 2.

$$\frac{11}{75x}\times 10^{3}\left(55-15.3\right)$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{11}{75x}\times 1000\left(55-15.3\right)$$

Subtract 15.3 from 55 to get 39.7.

$$\frac{11}{75x}\times 1000\times 39.7$$

Multiply 1000 and 39.7 to get 39700.

$$\frac{11}{75x}\times 39700$$

Express \frac{11}{75x}\times 39700 as a single fraction.

$$\frac{11\times 39700}{75x}$$

Cancel out 25 in both numerator and denominator.

$$\frac{11\times 1588}{3x}$$

Multiply 11 and 1588 to get 17468.

$$\frac{17468}{3x}$$

Expand

$$\frac{17468}{3x}$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{\frac{15}{15}\times \frac{8+3}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Divide 15 by 15 to get 1.

$$\frac{1\times \frac{8+3}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Add 8 and 3 to get 11.

$$\frac{1\times \frac{11}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Multiply 1 and \frac{11}{2} to get \frac{11}{2}.

$$\frac{\frac{11}{2}}{\frac{3}{6}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{11}{2}}{\frac{1}{2}\times 15x\times 5}\times 10^{3}\left(55-15.3\right)$$

Multiply \frac{1}{2} and 15 to get \frac{15}{2}.

$$\frac{\frac{11}{2}}{\frac{15}{2}x\times 5}\times 10^{3}\left(55-15.3\right)$$

Express \frac{15}{2}\times 5 as a single fraction.

$$\frac{\frac{11}{2}}{\frac{15\times 5}{2}x}\times 10^{3}\left(55-15.3\right)$$

Multiply 15 and 5 to get 75.

$$\frac{\frac{11}{2}}{\frac{75}{2}x}\times 10^{3}\left(55-15.3\right)$$

Express \frac{\frac{11}{2}}{\frac{75}{2}x} as a single fraction.

$$\frac{11}{2\times \frac{75}{2}x}\times 10^{3}\left(55-15.3\right)$$

Cancel out 2 and 2.

$$\frac{11}{75x}\times 10^{3}\left(55-15.3\right)$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{11}{75x}\times 1000\left(55-15.3\right)$$

Subtract 15.3 from 55 to get 39.7.

$$\frac{11}{75x}\times 1000\times 39.7$$

Multiply 1000 and 39.7 to get 39700.

$$\frac{11}{75x}\times 39700$$

Express \frac{11}{75x}\times 39700 as a single fraction.

$$\frac{11\times 39700}{75x}$$

Cancel out 25 in both numerator and denominator.

$$\frac{11\times 1588}{3x}$$

Multiply 11 and 1588 to get 17468.

$$\frac{17468}{3x}$$