Solve 3/4+29/17+1/4+38/17

$$\frac { 3 } { 4 } + 2 \frac { 9 } { 17 } + \frac { 1 } { 4 } + 3 \frac { 8 } { 17 }$$

Evaluate

$$7$$

Solution Steps

Multiply 2 and 17 to get 34.

$$\frac{3}{4}+\frac{34+9}{17}+\frac{1}{4}+\frac{3\times 17+8}{17}$$

Add 34 and 9 to get 43.

$$\frac{3}{4}+\frac{43}{17}+\frac{1}{4}+\frac{3\times 17+8}{17}$$

Least common multiple of 4 and 17 is 68. Convert \frac{3}{4} and \frac{43}{17} to fractions with denominator 68.

$$\frac{51}{68}+\frac{172}{68}+\frac{1}{4}+\frac{3\times 17+8}{17}$$

Since \frac{51}{68} and \frac{172}{68} have the same denominator, add them by adding their numerators.

$$\frac{51+172}{68}+\frac{1}{4}+\frac{3\times 17+8}{17}$$

Add 51 and 172 to get 223.

$$\frac{223}{68}+\frac{1}{4}+\frac{3\times 17+8}{17}$$

Least common multiple of 68 and 4 is 68. Convert \frac{223}{68} and \frac{1}{4} to fractions with denominator 68.

$$\frac{223}{68}+\frac{17}{68}+\frac{3\times 17+8}{17}$$

Since \frac{223}{68} and \frac{17}{68} have the same denominator, add them by adding their numerators.

$$\frac{223+17}{68}+\frac{3\times 17+8}{17}$$

Add 223 and 17 to get 240.

$$\frac{240}{68}+\frac{3\times 17+8}{17}$$

Reduce the fraction \frac{240}{68} to lowest terms by extracting and canceling out 4.

$$\frac{60}{17}+\frac{3\times 17+8}{17}$$

Multiply 3 and 17 to get 51.

$$\frac{60}{17}+\frac{51+8}{17}$$

Add 51 and 8 to get 59.

$$\frac{60}{17}+\frac{59}{17}$$

Since \frac{60}{17} and \frac{59}{17} have the same denominator, add them by adding their numerators.

$$\frac{60+59}{17}$$

Add 60 and 59 to get 119.

$$\frac{119}{17}$$

Divide 119 by 17 to get 7.

$$7$$

Factor

$$7$$