Solve 78/frac{22{7}}5div2

$$\frac{ 78 }{ \frac{ 22 }{ 7 } } 5 \div 2$$

Evaluate

$$\frac{1365}{22}\approx 62.045454545$$

Solution Steps

Divide 78 by \frac{22}{7} by multiplying 78 by the reciprocal of \frac{22}{7}.

$$\frac{78\times \frac{7}{22}\times 5}{2}$$

Express 78\times \frac{7}{22} as a single fraction.

$$\frac{\frac{78\times 7}{22}\times 5}{2}$$

Multiply 78 and 7 to get 546.

$$\frac{\frac{546}{22}\times 5}{2}$$

Reduce the fraction \frac{546}{22} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{273}{11}\times 5}{2}$$

Express \frac{273}{11}\times 5 as a single fraction.

$$\frac{\frac{273\times 5}{11}}{2}$$

Multiply 273 and 5 to get 1365.

$$\frac{\frac{1365}{11}}{2}$$

Express \frac{\frac{1365}{11}}{2} as a single fraction.

$$\frac{1365}{11\times 2}$$

Multiply 11 and 2 to get 22.

$$\frac{1365}{22}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 13}{2 \cdot 11} = 62\frac{1}{22} = 62.04545454545455$$