Solve 6,3+sqrt{169}*4/7:6-2=

$$6,3 + \sqrt { 169 } \times \frac { 4 } { 7 } : 6 - 2 =$$

Evaluate

$$\frac{1163}{210}\approx 5,538095238$$

Solution Steps

Calculate the square root of 169 and get 13.

$$6,3+\frac{13\times \frac{4}{7}}{6}-2$$

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

$$6,3+\frac{\frac{13\times 4}{7}}{6}-2$$

Multiply 13 and 4 to get 52.

$$6,3+\frac{\frac{52}{7}}{6}-2$$

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

$$6,3+\frac{52}{7\times 6}-2$$

Multiply 7 and 6 to get 42.

$$6,3+\frac{52}{42}-2$$

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

$$6,3+\frac{26}{21}-2$$

Convert decimal number 6,3 to fraction \frac{63}{10}.

$$\frac{63}{10}+\frac{26}{21}-2$$

Least common multiple of 10 and 21 is 210. Convert \frac{63}{10} and \frac{26}{21} to fractions with denominator 210.

$$\frac{1323}{210}+\frac{260}{210}-2$$

Since \frac{1323}{210} and \frac{260}{210} have the same denominator, add them by adding their numerators.

$$\frac{1323+260}{210}-2$$

Add 1323 and 260 to get 1583.

$$\frac{1583}{210}-2$$

Convert 2 to fraction \frac{420}{210}.

$$\frac{1583}{210}-\frac{420}{210}$$

Since \frac{1583}{210} and \frac{420}{210} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1583-420}{210}$$

Subtract 420 from 1583 to get 1163.

$$\frac{1163}{210}$$

Factor

$$\frac{1163}{2 \cdot 3 \cdot 5 \cdot 7} = 5\frac{113}{210} = 5.538095238095238$$