Solve 20div71/4*3/5

$$20 \div 7 \frac { 1 } { 4 } \times \frac { 3 } { 5 }$$

Evaluate

$$\frac{48}{29}\approx 1.655172414$$

Solution Steps

Divide 20 by \frac{7\times 4+1}{4} by multiplying 20 by the reciprocal of \frac{7\times 4+1}{4}.

$$\frac{20\times 4}{7\times 4+1}\times \frac{3}{5}$$

Multiply 20 and 4 to get 80.

$$\frac{80}{7\times 4+1}\times \frac{3}{5}$$

Multiply 7 and 4 to get 28.

$$\frac{80}{28+1}\times \frac{3}{5}$$

Add 28 and 1 to get 29.

$$\frac{80}{29}\times \frac{3}{5}$$

Multiply \frac{80}{29} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{80\times 3}{29\times 5}$$

Do the multiplications in the fraction \frac{80\times 3}{29\times 5}.

$$\frac{240}{145}$$

Reduce the fraction \frac{240}{145} to lowest terms by extracting and canceling out 5.

$$\frac{48}{29}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{29} = 1\frac{19}{29} = 1.6551724137931034$$