Solve (63/6+104/6)+92/6

$$( 6 \frac { 3 } { 6 } + 10 \frac { 4 } { 6 } ) + 9 \frac { 2 } { 6 }$$

Evaluate

$$\frac{53}{2}=26.5$$

Solution Steps

Multiply 6 and 6 to get 36.

$$\frac{36+3}{6}+\frac{10\times 6+4}{6}+\frac{9\times 6+2}{6}$$

Add 36 and 3 to get 39.

$$\frac{39}{6}+\frac{10\times 6+4}{6}+\frac{9\times 6+2}{6}$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{2}+\frac{10\times 6+4}{6}+\frac{9\times 6+2}{6}$$

Multiply 10 and 6 to get 60.

$$\frac{13}{2}+\frac{60+4}{6}+\frac{9\times 6+2}{6}$$

Add 60 and 4 to get 64.

$$\frac{13}{2}+\frac{64}{6}+\frac{9\times 6+2}{6}$$

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}+\frac{32}{3}+\frac{9\times 6+2}{6}$$

Least common multiple of 2 and 3 is 6. Convert \frac{13}{2} and \frac{32}{3} to fractions with denominator 6.

$$\frac{39}{6}+\frac{64}{6}+\frac{9\times 6+2}{6}$$

Since \frac{39}{6} and \frac{64}{6} have the same denominator, add them by adding their numerators.

$$\frac{39+64}{6}+\frac{9\times 6+2}{6}$$

Add 39 and 64 to get 103.

$$\frac{103}{6}+\frac{9\times 6+2}{6}$$

Multiply 9 and 6 to get 54.

$$\frac{103}{6}+\frac{54+2}{6}$$

Add 54 and 2 to get 56.

$$\frac{103}{6}+\frac{56}{6}$$

Since \frac{103}{6} and \frac{56}{6} have the same denominator, add them by adding their numerators.

$$\frac{103+56}{6}$$

Add 103 and 56 to get 159.

$$\frac{159}{6}$$

Reduce the fraction \frac{159}{6} to lowest terms by extracting and canceling out 3.

$$\frac{53}{2}$$

Factor

$$\frac{53}{2} = 26\frac{1}{2} = 26.5$$