Solve 4div3/7-1/4*2

$$4 \div \frac { \frac { 3 } { 7 } - 1 } { 4 } \cdot 2$$

Evaluate

$$-56$$

Solution Steps

Divide 4 by \frac{\frac{3}{7}-1}{4} by multiplying 4 by the reciprocal of \frac{\frac{3}{7}-1}{4}.

$$\frac{4\times 4}{\frac{3}{7}-1}\times 2$$

Multiply 4 and 4 to get 16.

$$\frac{16}{\frac{3}{7}-1}\times 2$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{16}{\frac{3}{7}-\frac{7}{7}}\times 2$$

Since \frac{3}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16}{\frac{3-7}{7}}\times 2$$

Subtract 7 from 3 to get -4.

$$\frac{16}{-\frac{4}{7}}\times 2$$

Divide 16 by -\frac{4}{7} by multiplying 16 by the reciprocal of -\frac{4}{7}.

$$16\left(-\frac{7}{4}\right)\times 2$$

Express 16\left(-\frac{7}{4}\right) as a single fraction.

$$\frac{16\left(-7\right)}{4}\times 2$$

Multiply 16 and -7 to get -112.

$$\frac{-112}{4}\times 2$$

Divide -112 by 4 to get -28.

$$-28\times 2$$

Multiply -28 and 2 to get -56.

$$-56$$

Factor

$$-56$$