Final answer:
To convert 1/15 to a fraction with a denominator of 45, multiply both the numerator and the denominator by 3 to get the equivalent fraction 3/45.
Step-by-step explanation:
To convert the fraction 1/15 to an equivalent fraction with a denominator of 45, we need to find a number that we can multiply both the numerator and the denominator of 1/15 by to get the new denominator of 45. Knowing that 15 times 3 equals 45, we can multiply both the numerator and the denominator of the fraction by 3.
The calculations would therefore look like this:
1/15 x 3/3 = 3/45
This shows that 3/45 is the equivalent fraction to 1/15 with a denominator of 45, as both the numerator and the denominator have been scaled up by the same factor, which does not change the value of the fraction.