Solve (7/9+3/5)-1/2=

$$( \frac{ 7 }{ 9 } + \frac{ 3 }{ 5 } )- \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{79}{90}\approx 0.877777778$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{3}{5} to fractions with denominator 45.

$$\frac{35}{45}+\frac{27}{45}-\frac{1}{2}$$

Since \frac{35}{45} and \frac{27}{45} have the same denominator, add them by adding their numerators.

$$\frac{35+27}{45}-\frac{1}{2}$$

Add 35 and 27 to get 62.

$$\frac{62}{45}-\frac{1}{2}$$

Least common multiple of 45 and 2 is 90. Convert \frac{62}{45} and \frac{1}{2} to fractions with denominator 90.

$$\frac{124}{90}-\frac{45}{90}$$

Since \frac{124}{90} and \frac{45}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{124-45}{90}$$

Subtract 45 from 124 to get 79.

$$\frac{79}{90}$$

Factor

$$\frac{79}{2 \cdot 3 ^ {2} \cdot 5} = 0.8777777777777778$$