Question

21 quarters to 13 dollars, in lowest terms as a tion:

a) ( 21/13 )
b) ( 7/13 )
c) ( 21/52 )
d) ( 7/52 )

Answer 1

c) (21/52)

Step-by-step explanation:

To express the ratio of 21 quarters to dollars in its lowest terms, we need to find the greatest common divisor (GCD) of the two numbers. The total value in dollars is 21 * $0.25 = $5.25. Now, we write the ratio as 21:525 (since $5.25 is equivalent to 525 cents).

Next, find the GCD of 21 and 525, which is 21. Divide both the numerator and denominator by 21 to get the lowest terms: 21/21 = 1 and 525/21 = 25. So, the simplified ratio is 1:25.

Since the question asks for the ratio as a fraction, the final answer is (1/25). Therefore, the correct option is c) (21/52). This ratio represents the relationship between 21 quarters and $13 in its simplest form.