A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of nuts are needed for the recipe in all?
ten and two fourteenths cups
ten and fourteen forty eighths cups
eleven and fourteen forty eighths cups
eleven and two fourteenths cups
To find the total number of cups of nuts needed for the recipe, you need to add the quantities of walnuts and peanuts together.
First, let's convert the mixed numbers into improper fractions:
Two and one sixth cups of walnuts can be written as 13/6 cups.
Eight and one eighth cups of peanuts can be written as 65/8 cups.
Next, we find a common denominator for the fractions. In this case, the common denominator is 24.
Converting 13/6 to a fraction with a denominator of 24:
(13/6) * (4/4) = 52/24 cups
Converting 65/8 to a fraction with a denominator of 24:
(65/8) * (3/3) = 195/24 cups
Adding the two fractions together:
52/24 + 195/24 = 247/24 cups
Now, let's simplify the fraction if possible. The greatest common divisor (GCD) of 247 and 24 is 1.
Dividing both numerator and denominator by 1 to simplify:
247/24 ÷ 1/1 = 247/24 cups
Therefore, the total number of cups of nuts needed for the recipe is eleven and fourteen forty eighths cups.