I have 2/3 cups of sugar. How many recipes can I make if the recipe calls for 1/4 cups of sugar?
( 2 / 3 ) / ( 1 / 4 ) = 2 ∙ 4 / 3 ∙ 1 = 8 / 3 =
( 6 + 2 ) / 3 = 6 / 3 + 2 / 3 = 2 2/3
OR
1 / ( 1 / 4 ) = 4
( 2 / 3 ) ∙ 4 = 8 / 3 = ( 6 + 2 ) / 3 = 6 / 3 + 2 / 3 = 2 2/3
Well, let's do some mathematical funny business, shall we? If the recipe requires 1/4 cups of sugar, and you have 2/3 cups, we can divide 2/3 by 1/4 to find out how many times you can make the recipe. Now, dividing fractions can be a little tricky, but I've got a trick up my sleeve. You just need to remember that when dividing fractions, you flip the second fraction and then multiply. So, 2/3 times 4/1 gives us...drumroll, please...a resounding 8/3! And since recipes typically don't like fractions hanging around, we can say you can make approximately 2 and 2/3 recipes. That's a whole lot of sugary sweetness coming your way!
To determine the number of recipes you can make, divide the total amount of sugar you have by the amount of sugar required per recipe.
Step 1: Convert 2/3 cups to a decimal:
2/3 = 0.6667 (rounded to four decimal places)
Step 2: Divide the total amount of sugar by the amount of sugar required per recipe:
0.6667 ÷ 1/4 = 0.6667 × 4/1
= 0.6667 × 4
= 2.6668
So, you can make approximately 2.6668 (rounded to four decimal places) recipes with 2/3 cups of sugar. In practical terms, this means you can make either 2 or 3 recipes, depending on how you prefer to allocate the sugar.
To find out how many recipes you can make with 2/3 cups of sugar and a recipe that calls for 1/4 cups of sugar, you need to divide the total amount of sugar you have (2/3 cups) by the amount of sugar required for each recipe (1/4 cups).
To simplify the calculation, convert the fractions to a common denominator. The common denominator of 3 and 4 is 12. So, 2/3 cups can be rewritten as 8/12 cups, and 1/4 cups remains the same.
Now, divide the total amount of sugar (8/12 cups) by the amount required for each recipe (1/4 cups). To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
(8/12 cups) ÷ (1/4 cups) = (8/12 cups) x (4/1 cups)
Next, multiply the numerators (top numbers) together to get the final numerator and multiply the denominators (bottom numbers) together to get the final denominator.
(8 x 4) / (12 x 1) = 32/12
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 32 and 12 is 4.
32/12 ÷ 4/4 = 8/3
So, you can make 8/3 or approximately 2 and 2/3 recipes with 2/3 cups of sugar if each recipe requires 1/4 cups of sugar.