A fraction that shows a ratio comparison of two like measurements.write it as a ratio in simplified form 5 quarters to 8 dimes
5 quarters = 125 cents
8 dimes = 80 cents
so the ratio is
125 cents : 80 cents
= 125 : 80
= 25 : 16
To represent the ratio comparison of 5 quarters to 8 dimes as a fraction, you need to convert both quantities to the same unit.
Since there are 4 quarters in 1 dollar, and 10 dimes in 1 dollar, we can convert the quantities as follows:
5 quarters = 5/4 dollars
8 dimes = 8/10 dollars = 4/5 dollars
Now that both quantities are in dollars, we can express the ratio as a fraction:
5/4 dollars to 4/5 dollars
To simplify this fraction, you can find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 5 and 4 is 1, so we can divide both the numerator and denominator by 1 to simplify the fraction:
(5/4) / (4/5) = (5/4) * (5/4) = (25/16)
So, the simplified fraction that represents the ratio of 5 quarters to 8 dimes is 25/16.