Final answer:
To convert the mixed number 1 3/5 to an improper fraction, you get 8/5. To find an equivalent fraction for 8/5 with a denominator of 15, you would get 24/15, as both fractions are equal when simplified.
Step-by-step explanation:
The student seems to be asking for help in understanding the conversion between different forms of fractions for the specific example of 1 3/5, which can be converted to an improper fraction and an equivalent fraction. To convert the mixed number 1 3/5 to an improper fraction, you multiply the whole number by the denominator of the fraction and add the numerator. In this case, 1 × 5 + 3 = 8, so the improper fraction is 8/5. To find an equivalent fraction to 8/5, you could multiply both the numerator and denominator by any non-zero number; for example, if you multiply by 3, you get 24/15, which is equivalent to 8/5. However, the student also refers to the number 15, which may indicate seeking an equivalent fraction with a denominator of 15. In that case, we would need to find a common numerator that makes 8/5 equal to something like x/15; here, x can be calculated as 8 × 3 = 24, giving us the equivalent fraction of 24/15.