Answer :
To divide fractions like (13/15) by (7/10), follow these steps:
1. Multiply the first fraction by the reciprocal of the second fraction.
2. Reciprocal of (7/10) is (10/7).
3. Multiply across to get (13/15) * (10/7).
4. Multiply the numerators and denominators: (13 * 10) / (15 * 7) = 130/105.
5. Simplify the result by dividing both numerator and denominator by their GCD, which is 5.
6. The simplified result is 26/21.
To divide fractions like (13)/(15) ÷ (7)/(10), we multiply the first fraction by the reciprocal of the second fraction then simplify. After following these steps, we get the result 26/21.
The student's question is about fraction division. Given the problem (13)/(15) ÷ (7)/(10), we can solve this by multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by exchanging the numerator and the denominator.
So the reciprocal of (7)/(10) is (10)/(7). Hence, the problem becomes (13)/(15) multiplied by (10)/(7). To perform this operation, we just multiply directly across: (13 * 10) / (15 * 7) = 130/105.
To simplify, divide both 130 and 105 by their GCD (Greatest Common Divisor), which is 5. Therefore, 130/105 simplifies to 26/21.
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