Carol is baking cookies and needs two and one-fourth cups of flour, two-thirds cup of white sugar, one-fourth cup of brown sugar, andThe fraction is 1 over 16. cup of baking soda. Use this information to answer the following questions.
Question
Divide the amount of white sugar by the amount of brown sugar. What is the quotient?
(1 point)
Responses
three-eighths
Image with alt text: three-eighths
two-thirds
Image with alt text: two-thirds
2
2
two and two-thirds
The amount of white sugar is two-thirds of a cup and the amount of brown sugar is one-fourth of a cup.
To find the quotient, we divide two-thirds by one-fourth.
Since dividing by a fraction is the same as multiplying by its reciprocal, we can rewrite this as:
(2/3) / (1/4) = (2/3) * (4/1) = 8/3 = 2 and 2/3
Therefore, the quotient is two and two-thirds.
To divide the amount of white sugar by the amount of brown sugar, we need to divide two-thirds by one-fourth.
To do this, we can convert both fractions to have a common denominator of 12.
Two-thirds is equivalent to eight-twelfths.
One-fourth is equivalent to three-twelfths.
Now, we can divide eight-twelfths by three-twelfths:
(8/12) ÷ (3/12) = (8/12) × (12/3) = 8/3 = 2 and two-thirds.
Therefore, the quotient is two and two-thirds.