Solve 3/4div7/16

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

Evaluate

$$\frac{12}{7}\approx 1.714285714$$

Solution Steps

Divide \frac{3}{4} by \frac{7}{16} by multiplying \frac{3}{4} by the reciprocal of \frac{7}{16}.

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

Multiply \frac{3}{4} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 16}{4\times 7}.

$$\frac{48}{28}$$

Reduce the fraction \frac{48}{28} to lowest terms by extracting and canceling out 4.

$$\frac{12}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{7} = 1\frac{5}{7} = 1.7142857142857142$$