Solve 390div(21div6*25)=

$$390 \div (21 \div 6 \times 25)=$$

Evaluate

$$\frac{156}{35}\approx 4.457142857$$

Solution Steps

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$\frac{390}{\frac{7}{2}\times 25}$$

Express \frac{7}{2}\times 25 as a single fraction.

$$\frac{390}{\frac{7\times 25}{2}}$$

Multiply 7 and 25 to get 175.

$$\frac{390}{\frac{175}{2}}$$

Divide 390 by \frac{175}{2} by multiplying 390 by the reciprocal of \frac{175}{2}.

$$390\times \frac{2}{175}$$

Express 390\times \frac{2}{175} as a single fraction.

$$\frac{390\times 2}{175}$$

Multiply 390 and 2 to get 780.

$$\frac{780}{175}$$

Reduce the fraction \frac{780}{175} to lowest terms by extracting and canceling out 5.

$$\frac{156}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 13}{5 \cdot 7} = 4\frac{16}{35} = 4.457142857142857$$