Solve 4/9-9/2

$$\frac{ \frac{ 4 }{ 9 } -9 }{ 2 }$$

Evaluate

$$-\frac{77}{18}\approx -4.277777778$$

Solution Steps

Convert 9 to fraction \frac{81}{9}.

$$\frac{\frac{4}{9}-\frac{81}{9}}{2}$$

Since \frac{4}{9} and \frac{81}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-81}{9}}{2}$$

Subtract 81 from 4 to get -77.

$$\frac{-\frac{77}{9}}{2}$$

Express \frac{-\frac{77}{9}}{2} as a single fraction.

$$\frac{-77}{9\times 2}$$

Multiply 9 and 2 to get 18.

$$\frac{-77}{18}$$

Fraction \frac{-77}{18} can be rewritten as -\frac{77}{18} by extracting the negative sign.

$$-\frac{77}{18}$$

Factor

$$-\frac{77}{18} = -4\frac{5}{18} = -4.277777777777778$$