Solve 4div7/16+3div7/16

$$4 \div \frac { 7 } { 16 } + 3 \div \frac { 7 } { 16 }$$

Evaluate

$$16$$

Solution Steps

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

$$4\times \frac{16}{7}+\frac{3}{\frac{7}{16}}$$

Express 4\times \frac{16}{7} as a single fraction.

$$\frac{4\times 16}{7}+\frac{3}{\frac{7}{16}}$$

Multiply 4 and 16 to get 64.

$$\frac{64}{7}+\frac{3}{\frac{7}{16}}$$

Divide 3 by \frac{7}{16} by multiplying 3 by the reciprocal of \frac{7}{16}.

$$\frac{64}{7}+3\times \frac{16}{7}$$

Express 3\times \frac{16}{7} as a single fraction.

$$\frac{64}{7}+\frac{3\times 16}{7}$$

Multiply 3 and 16 to get 48.

$$\frac{64}{7}+\frac{48}{7}$$

Since \frac{64}{7} and \frac{48}{7} have the same denominator, add them by adding their numerators.

$$\frac{64+48}{7}$$

Add 64 and 48 to get 112.

$$\frac{112}{7}$$

Divide 112 by 7 to get 16.

$$16$$

Factor

$$2^{4}$$