Final answer:
To divide the mixed numbers 5 1/4 by 3 3/8, we convert them to improper fractions, perform the division by multiplying with the reciprocal, and then simplify the resulting fraction to get 1 5/9.
Step-by-step explanation:
The question 5 1/4 divided by 3 3/8 is a mathematics problem involving division of mixed numbers.
To solve this, we must first convert the mixed numbers to improper fractions. 5 1/4 is the same as 21/4,
since 5 * 4 + 1 = 21.
Similarly, 3 3/8 is the same as 27/8, since 3 * 8 + 3 = 27.
Now, we have 21/4 ÷ 27/8.
To divide fractions, we multiply by the reciprocal of the divisor, which means we'll multiply 21/4 by 8/27.
Thus, 21/4 * 8/27 = (21 * 8)/(4 * 27) which simplifies to 168/108.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, we get 14/9 or 1 5/9 when converted back to a mixed number.