Fraction Fun Time! I can add or subtract proper fractions and mixed numbers with like denominators.

Essential Questions What is an improper fraction? How is an improper fraction changed into a mixed number? How do I add and subtract fractions with common denominators?

Improper Fractions A fraction is an improper fraction when the numerator is larger than the denominator. When this happens that means that you have more than one whole. If the fraction is improper, then you need to change the fraction into a mixed number. Example: 23/5

How can we change an improper fraction into a mixed number? Remember NIDO? Numerator on the inside! Denominator on the outside! Say we have the fraction 13/2, 6 r 1 2 13 -12 1 My mixed number is 6 Ready for some practice? Of course you are! 1 2

SLATE TIME!!!! Turn these improper fractions into mixed numbers! 16/5 23/4 25/6 18/5 12/3 3 1/5 5 3/4 4 1/6 3 3/5 4

37/7 35 + 2 = 37 Changing ‘em back! 5 2/7 7x5=35 It’s easy to turn a mixed number into an improper fraction again! Take the denominator and multiply it by the whole number! 5 2/7 7x5=35 Next, simply add the numerator! 35 + 2 = 37 The denominator ALWAYS stays the same! 37/7

Your Turn! 7 3/5 4 1/4 8 2/3 5 1/3 6 1/4 3 1/2 38/ 5 17/4 26/3 16/3 25/4 7/2

Simplifying Fractions! When we are adding or subtracting fractions, we are NOT done until the fraction is down to it’s simplest form! What does that mean? It means that the numerator and denominator do not share a common factor! The easiest way is to find the GCF of both the numerator and denominator! If you find the GCF, you will save yourself time!

Let’s try it! Your simplified fraction is 1/3. Take the fraction 4/12 Thumbs up when you have the GCF for both! Did you say 4? That’s it! So divide the numerator and denominator by the GCF. Your simplified fraction is 1/3.

Simplify It! Reduce these fractions to their simplest form. Your work is not done until the numerator and denominator DO NOT share a common factor! 12/18 4/32 22/42 10/ 45 18/24 8/56 12/60 5/20 2/3 1/8 2/9 11/21 3/4 1/7 1/5 1/4

Steps for adding fractions Take the fractions and If we want to ADD these two fractions together we keep the denominator the same and then add the numerators together. 2 + 7 = 9 The denominator stays the same and our new numerator is 9. The new fraction is 2 10 7 10 9 10

Partner Practice! Add these fractions together! Simplify if you can! Also don’t forget, if the fraction turns out to be IMPROPER, you MUST change it to a MIXED NUMBER! 7/12 + 3/12 2/3+ 2/3 7/8 + 3/8 4/12 + 9/12 5/10 + 3/10 3/5 + 1/5 1 1/3 5/6 1 1/4 1 1/12 4/5 4/5 If you didn’t get them all correct, was it because you forgot to simplify? YOU MUST!

Steps for subtracting fractions Take the fractions and Like adding fractions, when you SUBTRACT fractions keep the denominator the same and subtract the numerators. 7 - 2 = 5 The denominator stays the same and the denominator is 8. Our new fraction is 7 8 2 8 5 8

More Partner Practice! Subtract these fractions with common denominators. SIMPLIFY, SIMPLIFY, SIMPLIFY!!! 5/8 - 3/8 10/12 - 4/12 8/10 - 1/10 1/4 1/2 7/10

Steps for adding and subtracting mixed numbers Change the mixed number into an improper fraction. Then add or subtract the fraction. The denominator always stays the same. Add/subtract the numerator. Then turn the improper fraction back into a mixed number.

Partner Practice Time! 2 6 3 1 5 3 7 3 10 5 10 5 + - - + 2 9 3 5 6 9 4 8 - + 6 8 2 5 10 5 10 5

Closure Explain to your shoulder partner how one changes an improper fraction into a mixed number and back. Then, give your partner step by step directions on how to add and subtract fractions. Thumbs up when you both have shared!

Independent Practice 9 3 6 5 + - Change to a mixed number. 1. 16/3 2. 23/2 3. 43/8 4. 34/5 Change to an improper fraction. 5. 5 1/2 6. 7 3/5 7. 2 2/3 8. 5 6/8 3 5 4 9 9 6 4 8 + - 8 9 6 8