Solve 23/34/frac{7{16}}

$$\frac{ \frac{ 23 }{ 34 } }{ \frac{ 7 }{ 16 } }$$

Evaluate

$$\frac{184}{119}\approx 1.546218487$$

Solution Steps

Divide \frac{23}{34} by \frac{7}{16} by multiplying \frac{23}{34} by the reciprocal of \frac{7}{16}.

$$\frac{23}{34}\times \frac{16}{7}$$

Multiply \frac{23}{34} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 16}{34\times 7}$$

Do the multiplications in the fraction \frac{23\times 16}{34\times 7}.

$$\frac{368}{238}$$

Reduce the fraction \frac{368}{238} to lowest terms by extracting and canceling out 2.

$$\frac{184}{119}$$

Factor

$$\frac{2 ^ {3} \cdot 23}{7 \cdot 17} = 1\frac{65}{119} = 1.546218487394958$$