Solve 8.4div96*3div35*1000

$$8.4 \div 96 \times 3 \div 35 \times 1000$$

Evaluate

$$7.5$$

Solution Steps

Expand \frac{8.4}{96} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{84}{960}\times 3}{35}\times 1000$$

Reduce the fraction \frac{84}{960} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{7}{80}\times 3}{35}\times 1000$$

Express \frac{7}{80}\times 3 as a single fraction.

$$\frac{\frac{7\times 3}{80}}{35}\times 1000$$

Multiply 7 and 3 to get 21.

$$\frac{\frac{21}{80}}{35}\times 1000$$

Express \frac{\frac{21}{80}}{35} as a single fraction.

$$\frac{21}{80\times 35}\times 1000$$

Multiply 80 and 35 to get 2800.

$$\frac{21}{2800}\times 1000$$

Reduce the fraction \frac{21}{2800} to lowest terms by extracting and canceling out 7.

$$\frac{3}{400}\times 1000$$

Express \frac{3}{400}\times 1000 as a single fraction.

$$\frac{3\times 1000}{400}$$

Multiply 3 and 1000 to get 3000.

$$\frac{3000}{400}$$

Reduce the fraction \frac{3000}{400} to lowest terms by extracting and canceling out 200.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$