Solve 57/8*2/3div4/7

$$5 \frac { 7 } { 8 } \times \frac { 2 } { 3 } \div \frac { 4 } { 7 }$$

Evaluate

$$\frac{329}{48}\approx 6.854166667$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{\frac{40+7}{8}\times \frac{2}{3}}{\frac{4}{7}}$$

Add 40 and 7 to get 47.

$$\frac{\frac{47}{8}\times \frac{2}{3}}{\frac{4}{7}}$$

Multiply \frac{47}{8} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{47\times 2}{8\times 3}}{\frac{4}{7}}$$

Do the multiplications in the fraction \frac{47\times 2}{8\times 3}.

$$\frac{\frac{94}{24}}{\frac{4}{7}}$$

Reduce the fraction \frac{94}{24} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{47}{12}}{\frac{4}{7}}$$

Divide \frac{47}{12} by \frac{4}{7} by multiplying \frac{47}{12} by the reciprocal of \frac{4}{7}.

$$\frac{47}{12}\times \frac{7}{4}$$

Multiply \frac{47}{12} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 7}{12\times 4}$$

Do the multiplications in the fraction \frac{47\times 7}{12\times 4}.

$$\frac{329}{48}$$

Factor

$$\frac{7 \cdot 47}{2 ^ {4} \cdot 3} = 6\frac{41}{48} = 6.854166666666667$$