Sure! Here are some practice problems on unit rates with ratios of fractions:
1) A recipe calls for 1/4 cup of sugar to make 12 cookies. What is the unit rate of sugar per cookie?
2) A car travels 3/5 of a mile on 1/8 gallon of gas. What is the unit rate of mileage per gallon of gas?
3) A construction worker can lay 2/3 of a brick in 1/4 hour. What is the unit rate of bricks laid per hour?
4) A salesperson sells 5/6 of a product for $15. What is the unit rate of price per product?
5) A water tank can be filled with 1/2 gallon of water in 1/3 minute. What is the unit rate of water capacity per minute?
Feel free to give these problems a try and let me know if you need help with any of them!
Unit Rates with Ratios of Fractions Practice
3 answers
Find the quotient of 1/2 and 12/7 .(1 point)
To find the quotient of two fractions, you need to divide the numerator of the first fraction by the numerator of the second fraction, and then divide the denominator of the first fraction by the denominator of the second fraction.
In this case, the quotient of 1/2 and 12/7 is:
(1/2) รท (12/7)
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:
(1/2) * (7/12)
To simplify the multiplication, you need to cancel out any common factors between the numerators and the denominators:
1 * 7 = 7
2 * 12 = 24
Therefore, the quotient of 1/2 and 12/7 is 7/24.
In this case, the quotient of 1/2 and 12/7 is:
(1/2) รท (12/7)
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:
(1/2) * (7/12)
To simplify the multiplication, you need to cancel out any common factors between the numerators and the denominators:
1 * 7 = 7
2 * 12 = 24
Therefore, the quotient of 1/2 and 12/7 is 7/24.