How to Dividing Fractions by Whole Numbers in Recipes!
How to dividing fractions by whole numbers in recipes!, step by step: the rule in plain language, solved examples worked one line at a time, and practice questions so you can try it yourself before moving on.
Dividing fractions by whole numbers is a common math skill used in math word problems including recipes.
A step-by-step guide to dividing fractions by whole numbers
Here’s a step-by-step guide on how to do it:
Step 1: Write the fraction as a division problem. For example, if the recipe calls for 3/4 cup of flour and you want to divide it by 2, write it as 3/4 ÷ 2.
Step 2: Convert the whole number to a fraction by putting it over 1. In this example, 2 becomes 2/1.
Step 3: Invert the fraction you are dividing by, also known as the denominator. To do this, switch the numerator and denominator of the fraction. In this example, 2/1 becomes 1/2.
Step 4: Multiply the two fractions. To multiply fractions, multiply the numerators (top numbers) and denominators (bottom numbers) separately. In this example, 3/4 x 1/2 = 3/8.
Step 5: Simplify the fraction. If the fraction can be simplified, divide both the numerator and denominator by the greatest common factor. In this example, 3/8 cannot be simplified any further, so the answer is 3/8 cup of flour.
So if the original recipe called for 3/4 cup of flour, and you wanted to divide it by 2, you would need 3/8 cup of flour instead.
Dividing Fractions by Whole Numbers in Recipes, Examples 1, 2
Solve the word problems according to the recipe.
1) What quantity of flour would you need to make a half very apple pie recipe?
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Solution:
To cut the recipe in a half, divide (frac{1}{3}) cup by 2.
Write 2 as an improper fraction. (frac{1}{3}÷frac{2}{1})
Multiply by the reciprocal. (frac{1}{3}×frac{2}{1}=frac{2}{3}). So, you would need (frac{2}{3}) of a cup of flour.
2) What quantity of sugar would you need to make a quarter very apple pie recipe?
To cut the recipe in a quarter, divide (frac{3}{5}) cups by 4.
Write 2 as an improper fraction. (frac{3}{5}÷frac{4}{1})
Multiply by the reciprocal. (frac{3}{5}×frac{4}{1}=frac{12}{5}).
Simplify it. (frac{12}{5}=2 frac{2}{5}). So, you would need (2 frac{2}{5}) of a cup of sugar.
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