Adding & Subtracting Fractions

In your groups, solve the following addition problem 2 5 1 5 + =

In your groups, solve the following addition problem 2 5 1 5 3 5 + =

Try this one 4 7 2 7 + =

Try this one 4 7 2 7 6 7 + =

What’s the rule? When the denominators are the same, add the numerators together and leave the denominators alone + = 3 6 2 6 5 6

Adding fractions with DIFFERENT denominators need to find the lowest common multiple (LCM) between the denominators of 6 and 12 similar to comparing fractions 1 12 + 5 6 The LCM for the denominators is 12

Find the equivalent fractions 5 6 = 10 12 1 12 5 6 + Next, we add the fractions with the denominator of 12 1 12 + 10 = 11

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Subtracting Fractions Same steps as with addition 4 6 − 2 4 The LCM of 6 and 4 is 12

Equivalent fractions 4 6 __ 12 = __ 12 2 4 = Subtract 8 12 6 12 = 2 12 -

Mixed Numbers to improper Fractions 1. Multiply the denominator by the whole number 2. Add the product to the numerator Key focus: What happens to the denominator?

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Now try answering the following questions by converting each mixed number into an improper fraction: +