A recipe calls for 3 2/3 cups of orange juice.You want to make half of the recipe.How many cups of juice should you use?
3 2/3 = 11/3
(11/3) * (1/2) = 11/6 = 1 5/6
To solve this problem, we need to find half of 3 2/3 cups of orange juice.
To do this, we can start by converting the mixed number, 3 2/3, into an improper fraction.
To convert a mixed number to an improper fraction, we multiply the whole number (3) by the denominator of the fraction (3 in this case) and add the numerator (2) to get the numerator of the improper fraction. This gives us 3*3 + 2 = 11. So, 3 2/3 can be written as 11/3.
Now, to find half of 3 2/3 cups of orange juice, we divide 11/3 by 2.
To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the denominator. The reciprocal of 2 is 1/2. So, we can rewrite 11/3 ÷ 2 as 11/3 * 1/2.
To multiply fractions, we multiply the numerators together and the denominators together. This gives us (11*1) / (3*2) = 11/6.
Therefore, when you want to make half of the recipe that calls for 3 2/3 cups of orange juice, you should use 11/6 cups of juice.