Question - Solving Fraction Division with Reciprocal Multiplication
Solution:
The image shows the fraction $$ \frac{6}{3} $$ which is being divided by 4. To solve this problem, you would follow the rule that dividing by a number is the same as multiplying by its reciprocal. So, you can rewrite the problem as:$$ \frac{6}{3} \times \frac{1}{4} $$Now, multiply the numerators and the denominators:Numerator: $$ 6 \times 1 = 6 $$Denominator: $$ 3 \times 4 = 12 $$The fraction is now $$ \frac{6}{12} $$, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. Thus the fraction simplifies to:$$ \frac{6 \div 6}{12 \div 6} = \frac{1}{2} $$So, $$ \frac{6}{3} $$ divided by 4 equals $$ \frac{1}{2} $$.
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