Solve 15-43/7+65/6

$$15 - 4 \frac { 3 } { 7 } + 6 \frac { 5 } { 6 }$$

Evaluate

$$\frac{731}{42}\approx 17.404761905$$

Solution Steps

Multiply 4 and 7 to get 28.

$$15-\frac{28+3}{7}+\frac{6\times 6+5}{6}$$

Add 28 and 3 to get 31.

$$15-\frac{31}{7}+\frac{6\times 6+5}{6}$$

Convert 15 to fraction \frac{105}{7}.

$$\frac{105}{7}-\frac{31}{7}+\frac{6\times 6+5}{6}$$

Since \frac{105}{7} and \frac{31}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-31}{7}+\frac{6\times 6+5}{6}$$

Subtract 31 from 105 to get 74.

$$\frac{74}{7}+\frac{6\times 6+5}{6}$$

Multiply 6 and 6 to get 36.

$$\frac{74}{7}+\frac{36+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{74}{7}+\frac{41}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{74}{7} and \frac{41}{6} to fractions with denominator 42.

$$\frac{444}{42}+\frac{287}{42}$$

Since \frac{444}{42} and \frac{287}{42} have the same denominator, add them by adding their numerators.

$$\frac{444+287}{42}$$

Add 444 and 287 to get 731.

$$\frac{731}{42}$$

Factor

$$\frac{17 \cdot 43}{2 \cdot 3 \cdot 7} = 17\frac{17}{42} = 17.404761904761905$$