Solve 2(29/7)+327/28

$$2( \frac{ 29 }{ 7 } )+3 \frac{ 27 }{ 28 }$$

Evaluate

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

Solution Steps

Express 2\times \frac{29}{7} as a single fraction.

$$\frac{2\times 29}{7}+\frac{3\times 28+27}{28}$$

Multiply 2 and 29 to get 58.

$$\frac{58}{7}+\frac{3\times 28+27}{28}$$

Multiply 3 and 28 to get 84.

$$\frac{58}{7}+\frac{84+27}{28}$$

Add 84 and 27 to get 111.

$$\frac{58}{7}+\frac{111}{28}$$

Least common multiple of 7 and 28 is 28. Convert \frac{58}{7} and \frac{111}{28} to fractions with denominator 28.

$$\frac{232}{28}+\frac{111}{28}$$

Since \frac{232}{28} and \frac{111}{28} have the same denominator, add them by adding their numerators.

$$\frac{232+111}{28}$$

Add 232 and 111 to get 343.

$$\frac{343}{28}$$

Reduce the fraction \frac{343}{28} to lowest terms by extracting and canceling out 7.

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

Factor

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