Solve (7)(3/29+1/13)*13*29

$$( 7 ) ( \frac { 3 } { 29 } + \frac { 1 } { 13 } ) \times 13 \times 29$$

Evaluate

$$476$$

Solution Steps

Least common multiple of 29 and 13 is 377. Convert \frac{3}{29} and \frac{1}{13} to fractions with denominator 377.

$$7\left(\frac{39}{377}+\frac{29}{377}\right)\times 13\times 29$$

Since \frac{39}{377} and \frac{29}{377} have the same denominator, add them by adding their numerators.

$$7\times \frac{39+29}{377}\times 13\times 29$$

Add 39 and 29 to get 68.

$$7\times \frac{68}{377}\times 13\times 29$$

Express 7\times \frac{68}{377} as a single fraction.

$$\frac{7\times 68}{377}\times 13\times 29$$

Multiply 7 and 68 to get 476.

$$\frac{476}{377}\times 13\times 29$$

Express \frac{476}{377}\times 13 as a single fraction.

$$\frac{476\times 13}{377}\times 29$$

Multiply 476 and 13 to get 6188.

$$\frac{6188}{377}\times 29$$

Reduce the fraction \frac{6188}{377} to lowest terms by extracting and canceling out 13.

$$\frac{476}{29}\times 29$$

Cancel out 29 and 29.

$$476$$

Factor

$$2^{2}\times 7\times 17$$