Find two equivalent fractions each of the following dividing 8/12÷5/5

Mathematics

ScanSolve AI Answer

Answer

46\frac{4}{6}

69\frac{6}{9}

Step-by-step solution

3 steps
  1. First, calculate the result of the division 812÷55\frac{8}{12} \div \frac{5}{5}.

    812÷55=812÷1=812\frac{8}{12} \div \frac{5}{5} = \frac{8}{12} \div 1 = \frac{8}{12}
  2. Simplify the resulting fraction 812\frac{8}{12} by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

    8÷412÷4=23\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
  3. Find two equivalent fractions for 23\frac{2}{3}.

    To do this, multiply both the numerator and the denominator by the same non-zero integer.

    • Multiply by 2: 2×23×2=46\frac{2 \times 2}{3 \times 2} = \frac{4}{6}
    • Multiply by 3: 2×33×3=69\frac{2 \times 3}{3 \times 3} = \frac{6}{9}

    Two equivalent fractions are 46\boxed{\frac{4}{6}} and 69\boxed{\frac{6}{9}}.

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