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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)
1: 
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.
2: 
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.
3: 
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….
4: 
Identify the smallest multiple that the two numbers share in common. In this instance, that number is 6.
5: 
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).
6: 
We can then add the numerators together (ex. 16 + 3), the sum of which is 19. Our new fraction is 19/6.
7: 
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).
References: 

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