Solve 63+sqrt{169}*4/7:6-2=

$$63 + \sqrt { 169 } \times \frac { 4 } { 7 } : 6 - 2 =$$

Evaluate

$$\frac{1307}{21}\approx 62.238095238$$

Solution Steps

Calculate the square root of 169 and get 13.

$$63+\frac{13\times \frac{4}{7}}{6}-2$$

Express 13\times \frac{4}{7} as a single fraction.

$$63+\frac{\frac{13\times 4}{7}}{6}-2$$

Multiply 13 and 4 to get 52.

$$63+\frac{\frac{52}{7}}{6}-2$$

Express \frac{\frac{52}{7}}{6} as a single fraction.

$$63+\frac{52}{7\times 6}-2$$

Multiply 7 and 6 to get 42.

$$63+\frac{52}{42}-2$$

Reduce the fraction \frac{52}{42} to lowest terms by extracting and canceling out 2.

$$63+\frac{26}{21}-2$$

Convert 63 to fraction \frac{1323}{21}.

$$\frac{1323}{21}+\frac{26}{21}-2$$

Since \frac{1323}{21} and \frac{26}{21} have the same denominator, add them by adding their numerators.

$$\frac{1323+26}{21}-2$$

Add 1323 and 26 to get 1349.

$$\frac{1349}{21}-2$$

Convert 2 to fraction \frac{42}{21}.

$$\frac{1349}{21}-\frac{42}{21}$$

Since \frac{1349}{21} and \frac{42}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1349-42}{21}$$

Subtract 42 from 1349 to get 1307.

$$\frac{1307}{21}$$

Factor

$$\frac{1307}{3 \cdot 7} = 62\frac{5}{21} = 62.23809523809524$$