Final answer:
To divide a fraction by a whole number, convert the whole number into a fraction, and then multiply it by the reciprocal of the fraction. The result can be reduced to its lowest terms.
Step-by-step explanation:
To divide a fraction by a whole number, you can convert the whole number into a fraction with a denominator of 1, and then multiply it by the reciprocal of the fraction. In this case, 15 can be written as 15/1. The reciprocal of 15/1 is 1/15. So, you can rewrite the division problem as 3/4 * 1/15. Multiplying the numerators gives 3 * 1 = 3, and multiplying the denominators gives 4 * 15 = 60. So, the final answer is 3/60. To reduce this fraction to its lowest terms, you can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing 3/60 by 3 gives 1/20.
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