Solve 34/9-17/15=

$$3 \frac { 4 } { 9 } - 1 \frac { 7 } { 15 } =$$

Evaluate

$$\frac{89}{45}\approx 1.977777778$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+4}{9}-\frac{1\times 15+7}{15}$$

Add 27 and 4 to get 31.

$$\frac{31}{9}-\frac{1\times 15+7}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{31}{9}-\frac{15+7}{15}$$

Add 15 and 7 to get 22.

$$\frac{31}{9}-\frac{22}{15}$$

Least common multiple of 9 and 15 is 45. Convert \frac{31}{9} and \frac{22}{15} to fractions with denominator 45.

$$\frac{155}{45}-\frac{66}{45}$$

Since \frac{155}{45} and \frac{66}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-66}{45}$$

Subtract 66 from 155 to get 89.

$$\frac{89}{45}$$

Factor

$$\frac{89}{3 ^ {2} \cdot 5} = 1\frac{44}{45} = 1.9777777777777779$$