Final answer:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Cancelling out common factors leaves the simplified answer as 26/15.
Step-by-step explanation:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 13/15 divided by 7/10 can be written as (13/15) x (10/7). To simplify, we cancel out the common factors between the numerator of the first fraction and the denominator of the second fraction, resulting in (13 x 2) / (15 x 1). This simplifies to 26/15.
When you divide one fraction by another, you can achieve this by multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator. This principle is based on the idea that division is the same as multiplication by the reciprocal.