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How to Add Fractions

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Your recipe calls for 2 and 2/3 cups of wholemeal flour plus 1/2 cup of white bread flour. How much flour will you need in all? If numerators and denominators leave you flummoxed, the following quick calculations will make adding fractions a piece of cake.
What you'll need: 
A pen and paper
A calculator (optional)
To make the first number more manageable, convert it to an improper fraction by multiplying the whole number by the denominator of the fraction (ex. 2 x 3 = 6). Then add this figure to the numerator (ex. 6 + 2 = 8). The mixed fraction becomes 8/3.
Since you can’t add fractions with different denominators, you must then convert both fractions to a common denominator. You can either multiply the denominators together or find the least common denominator, which is what we’ll do here.
Begin listing the multiples of each number. The multiples of 3 are 3, 6, 9, 12, 15…. The multiples of 2 are 2, 4, 6, 8, 10….
Identify the smallest multiple that the two numbers share in common. In this instance, that number is 6.
In order to convert each fraction so that the new denominator is 6, we must multiply the first fraction by 2/2 (ex. 8/3 x 2/2 = 16/6). The second fraction is multiplied by 3/3 (ex. 1/2 x 3/3 = 3/6).
We can then add the numerators together (ex. 16 + 3), the sum of which is 19. Our new fraction is 19/6.
Finally, we can simplify this fraction by dividing the numerator by the denominator and writing that answer as a whole number with the remainder written as the new numerator (ex. 19 ÷ 6 = 3 with 1 remaining or 3 and 1/6).


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