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Solve the equation.

{:[f-(8)/(9)=(5)/(9)],[f=]:}

Solve the equation.\newlinef89=59f= \begin{array}{l} f-\frac{8}{9}=\frac{5}{9} \\ f= \end{array}

Full solution

Q. Solve the equation.\newlinef89=59f= \begin{array}{l} f-\frac{8}{9}=\frac{5}{9} \\ f= \end{array}
  1. Isolate the variable f: Add \frac{88}{99} to both sides of the equation to isolate the variable f.\newlinef - \frac{88}{99} + \frac{88}{99} = \frac{55}{99} + \frac{88}{99}
  2. Simplify both sides: Simplify both sides of the equation. f=59+89f = \frac{5}{9} + \frac{8}{9}
  3. Add fractions on the right: Add the fractions on the right side of the equation. f=5+89f = \frac{5 + 8}{9}
  4. Calculate sum of numerators: Calculate the sum of the numerators. f=139f = \frac{13}{9}