Question
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Answer
The answer is \( \frac{25}{18} \).
Solution
To divide the fractions, multiply the first fraction by the reciprocal of the second:
(5/6) ÷ (6/10) = (5/6) × (10/6)
Multiply the numerators and denominators:
= (5 × 10) / (6 × 6)
= 50/36
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
50 ÷ 2 = 25
36 ÷ 2 = 18
So, the simplified form is:
25/18
Thus, the answer is 25/18.
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Simplify this solution Beyond the Answer
To solve \( \frac{5}{6} \div \frac{6}{10} \), you can multiply by the reciprocal of the second fraction. So, it becomes \( \frac{5}{6} \times \frac{10}{6} \). Multiplying the numerators and denominators gives you \( \frac{5 \times 10}{6 \times 6} = \frac{50}{36} \). This can be simplified to \( \frac{25}{18} \) by dividing both numerator and denominator by 2. Need to tackle a similar problem? Remember: when dividing fractions, flip the second fraction and multiply! Common mistakes include forgetting to flip the second fraction or not simplifying your final answer. Keep practicing, and you'll be a fraction ninja in no time!
