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Which fraction is equivalent to 810\frac{8}{10}?\newlineChoices:\newline(A) 45\frac{4}{5}\newline(B) 69\frac{6}{9}\newline(C) 56\frac{5}{6}\newline(D) 47\frac{4}{7}

Full solution

Q. Which fraction is equivalent to 810\frac{8}{10}?\newlineChoices:\newline(A) 45\frac{4}{5}\newline(B) 69\frac{6}{9}\newline(C) 56\frac{5}{6}\newline(D) 47\frac{4}{7}
  1. Simplify Fraction: Step 11: Simplify the fraction 810\frac{8}{10}.\newlineCalculation: Divide both numerator and denominator by their greatest common divisor, which is 22.\newline8÷2=48 \div 2 = 4 and 10÷2=510 \div 2 = 5.\newlineSo, 810\frac{8}{10} simplifies to 45\frac{4}{5}.
  2. Compare with Choices: Step 22: Compare the simplified fraction with the choices.\newlineCalculation: Check if 45\frac{4}{5} matches any of the given choices.\newlineChoices are (A) 45\frac{4}{5}, (B) 69\frac{6}{9}, (C) 56\frac{5}{6}, (D) 47\frac{4}{7}.\newline45\frac{4}{5} matches choice (A).