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Work out 3/7 * 16/9 and answer in its simplest form.

Mathematics

ScanSolve AI Answer

Answer

163\dfrac{16}{3}

Step-by-step solution

5 steps
  1. Write the given expression.

    79×3×167\frac{7}{9} \times 3 \times \frac{16}{7}
  2. Cancel the common factor of 7 in the numerator and denominator.

    79×3×167=19×3×16\frac{7}{9} \times 3 \times \frac{16}{7} = \frac{1}{9} \times 3 \times 16
  3. Rewrite as a single fraction.

    3×169\frac{3 \times 16}{9}
  4. Multiply the numerator.

    3×16=483 \times 16 = 48 489\frac{48}{9}
  5. Simplify by dividing numerator and denominator by 3.

    48÷3=1648 \div 3 = 16 9÷3=39 \div 3 = 3 163\frac{16}{3}

    163\boxed{\dfrac{16}{3}}

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