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Which fraction is equivalent to 14\frac{1}{4}?\newlineChoices:\newline(A) 39\frac{3}{9}\newline(B) 15\frac{1}{5}\newline(C) 28\frac{2}{8}\newline(D) 27\frac{2}{7}

Full solution

Q. Which fraction is equivalent to 14\frac{1}{4}?\newlineChoices:\newline(A) 39\frac{3}{9}\newline(B) 15\frac{1}{5}\newline(C) 28\frac{2}{8}\newline(D) 27\frac{2}{7}
  1. Simplify (A) 39\frac{3}{9}: Step 11: Simplify each choice to see if it equals 14\frac{1}{4}.\newline- Simplify (A) 39\frac{3}{9}:\newline 3÷3=13 \div 3 = 1 and 9÷3=39 \div 3 = 3, so 39\frac{3}{9} simplifies to 13\frac{1}{3}.\newline
  2. Simplify (B)15:(B) \frac{1}{5}: Step 22: Simplify (B)15:(B) \frac{1}{5}:\newline 15\frac{1}{5} is already in its simplest form.\newline
  3. Simplify (C) 28\frac{2}{8}: Step 33: Simplify (C) 28\frac{2}{8}:2÷2=12 \div 2 = 1 and 8÷2=48 \div 2 = 4, so 28\frac{2}{8} simplifies to 14\frac{1}{4}.
  4. Simplify (D)27:(D) \frac{2}{7}: Step 44: Simplify (D)27:(D) \frac{2}{7}:\newline 27\frac{2}{7} is already in its simplest form.\newline