What is the quotient of 25 1/2 ÷ 4 1/4? Simplify the answer, if possible
To simplify the given expression, we first convert the mixed numbers to improper fractions.
25 1/2 = 51/2
4 1/4 = 17/4
Now, we can divide the fractions:
(51/2) ÷ (17/4)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(51/2) * (4/17)
Multiplying the numerators and denominators, we get:
(51 * 4) / (2 * 17)
Calculating the numerator and denominator, we have:
204/34
However, the fraction can be simplified further. Both the numerator and the denominator are divisible by 2:
204/34 = (2 * 102)/(2 * 17) = 102/17
So, the simplified answer is 102/17.