Work out 3/7 x 16/9. Give your answer in its simplest form.

Mathematics
Work out 3/7 x 16/9. Give your answer in its simplest form.

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Answer

\dfrac{1}{16}

Step 1: Rewrite division as multiplication by the reciprocal.

316÷3=316×13\frac{3}{16} \div 3 = \frac{3}{16} \times \frac{1}{3}

Step 2: Multiply numerators together and denominators together.

3×116×3=348\frac{3 \times 1}{16 \times 3} = \frac{3}{48}

Step 3: Simplify the fraction by dividing numerator and denominator by 3.

3÷348÷3=116\frac{3 \div 3}{48 \div 3} = \frac{1}{16}

116\boxed{\dfrac{1}{16}}

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Quick Answer

Rewrite division as multiplication by the reciprocal. (3)/(16) ÷ 3 = (3)/(16) × (1)/(3) Step 2: Multiply numerators together and denominators together.

Work out 3/7 x 16/9. Give your answer in its simplest form.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Rewrite division as multiplication by the reciprocal. (3)/(16) ÷ 3 = (3)/(16) × (1)/(3) Step 2: Multiply numerators together and denominators together. (3 × 1)/(16 × 3) = (3)/(48) Step 3: Simplify the fraction by dividing numerator and denominator by 3. (3 ÷ 3)/(48 ÷ 3) = (1)/(16) (1)/(16)