Write the following ratio as a simplified fraction or improper fraction.
22 nickles to 7 quarters
22/7
To express the ratio 22 nickels to 7 quarters as a simplified fraction, we need to find the common unit between nickels and quarters. Since there are 5 nickels in a quarter, we can convert the ratio to the equivalent ratio of nickels to nickels.
Multiplying the numerator and denominator of the fraction by 5, we get:
22 nickels * 5 = 110 nickels
7 quarters * 5 = 35 nickels
So, the simplified fraction representing the ratio 22 nickels to 7 quarters is 110/35.
This fraction can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
110 ÷ 5 = 22
35 ÷ 5 = 7
Therefore, the simplified fraction is 22/7.