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Answer :
Final answer:
To divide 2/5 by 14/15, multiply 2/5 by the reciprocal of 14/15 which is 15/14, resulting in 30/70. After simplifying, the answer in simplest form is 3/7.
Explanation:
To divide two fractions, such as 2/5 divided by 14/15, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by switching its numerator and denominator. So, the reciprocal of 14/15 is 15/14.
Here's the step-by-step process:
- Write down the problem: (2/5) ÷ (14/15).
- Replace the division with multiplication by the reciprocal of the second fraction: (2/5) × (15/14).
- Now multiply the numerators: 2 × 15 = 30.
- Multiply the denominators: 5 × 14 = 70.
- Write down the resulting fraction: 30/70.
- Simplify the fraction by dividing both the numerator and denominator by their Greatest Common Divisor (GCD), which is 10. This gives us 3/7.
The simplest form of the fraction resulting from dividing 2/5 by 14/15 is 3/7.
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