Solve 23div32/7*13/4

$$23 \div 3 \frac { 2 } { 7 } \times 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{49}{4}=12.25$$

Solution Steps

Divide 23 by \frac{3\times 7+2}{7} by multiplying 23 by the reciprocal of \frac{3\times 7+2}{7}.

$$\frac{23\times 7}{3\times 7+2}\times \frac{1\times 4+3}{4}$$

Multiply 23 and 7 to get 161.

$$\frac{161}{3\times 7+2}\times \frac{1\times 4+3}{4}$$

Multiply 3 and 7 to get 21.

$$\frac{161}{21+2}\times \frac{1\times 4+3}{4}$$

Add 21 and 2 to get 23.

$$\frac{161}{23}\times \frac{1\times 4+3}{4}$$

Divide 161 by 23 to get 7.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

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

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

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

Multiply 7 and 7 to get 49.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$