Adding & Subtracting Negative Fractions Model

If I have one-third of a square and one-half of a square, how much do I have in all? Giant One (horizontal) 2 6 1 3 • 2 (vertical) 3 6 • 3 1 2 + 5 6

If I have one-third of a square and I take away negative one-fourth of a square, how much do I have left? Giant One Draw one-third (horizontal) 4 12 1 3 • 4 Draw negative one-fourth (vertical) -3 12 _ • 3 -1 4 7 12

8 2 12 3 -3 12 -1 4 Add two-thirds and negative one-forth. • 4 • 3 Draw two-thirds (horizontal) Giant One 8 12 2 3 • 4 Draw negative one-fourth (vertical) -3 12 • 3 -1 4 +

8 2 12 3 -3 12 -1 4 Add two-thirds and negative one-forth. • 4 • 3 Draw two-thirds (horizontal) Giant One 8 12 2 3 • 4 Draw negative one-fourth (vertical) -3 12 • 3 -1 4 + Take Away

8 2 12 3 -3 12 -1 4 5 12 Add two-thirds and negative one-forth. • 4 Draw two-thirds (horizontal) Giant One 8 12 2 3 • 4 Draw negative one-fourth (vertical) -3 12 • 3 -1 4 + FRACTION WARM UP Try the rest of your warm up! 5 12

Take Out Your STUDY GUIDE! That’s all folks

Multiply Negative Fractions #25 You do NOT need common denominators  Multiply the numerators and denominators straight across. -20 -5 4 Change the improper fraction to a mixed number! = 2 3 6 2 -3 Reduce! 6 6) 1 -20 -3 2 = 2 -3 ÷ 18 3 6 2 ÷ 2

Divide Negative Fractions #26 To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Example: 1 -5 -5 -5 3 1 -2 1 . X = = = - - - - - - - 6 3 6 1 2 2 . 2 .

Reciprocals #27 To write a reciprocal of a mixed number, you must change your mixed number to an improper fraction first. -42 -5 + 2 = 8 x 8 FLIP IT OVER! Then write the reciprocal of your improper fraction. -8 -42 8 42