MULTIPLYING FRACTIONS

If I have one-half of a one-fourth piece, how much will I have compared to a whole square?

Multiply ½ times ¼ = x ½ ¼

Multiply ½ times ¼ = x ½ ¼

Multiply ½ times ¼ = x ½ ¼ 1/8

If I have three-fifths of a three-fourths piece, how much will I have compared to a whole square?

Multiply 3/5 times 3/4 = x 3/5 3/4

Multiply 3/5 times 3/4 = x 3/5 3/4

Multiply 3/5 times 3/4 = x 3/5 3/4 = 9/20

If I have one-half of a two thirds piece, how much will I have compared to a whole square?

Multiply ½ times 2/3 = x ½ 2/3

Multiply ½ times 2/3 = x ½ 2/3

Multiply ½ times 2/3 = x ½ 2/3 = 2/6 = 1/3

Multiplying Fractions Model 9 out of 20 boxes shaded

Area Model for Multiplication 2 out of 12 boxes shaded

You are going to get a new study guide titled MULTIPLY FRACTIONS MODEL You can use this on your test! Take a look at the 1st example!

If I have one-third of a one-half piece, how much will I have compared to a whole square? Draw one-third (horizontal) Draw one-half (vertical) 1 3 1 2 What is 1/3 of ½? Draw a picture.

If I have one-third of a one-half piece, how much will I have compared to a whole square? Draw one-third (horizontal) Draw one-half (vertical) 1 3 1 2 What is 1/3 of ½? Draw a picture.

If I have one-third of a one-half piece, how much will I have compared to a whole square? Draw one-third (horizontal) Draw one-half (vertical) 1 3 1 2 What is 1/3 of ½? Draw a picture. NOW TRY EXAMPLE#2 We will do this together. Watch as I show you how to do it.

Try example # 2 on the front right side.

Follow the examples shown to solve each fraction problem Follow the examples shown to solve each fraction problem. Draw a picture, label it, and circle your answer.

1) Two-thirds times one-fourth? Try the rest of your study guide. I will ask for volunteers in about 5 minutes.

Study Guide ANSWERS

Multiplying Fractions

Multiplying Fractions Write4 as an improper fraction. 12 2 3 1 2 – 4 Multiply numerators. –2(9) 3(2) Multiply denominators. –18 6 = Simplify. –3 =

Cross Canceling Cross-Canceling - Reducing before you multiply.

Cross Canceling

Take Out Your Study Guide!!! That's all Folks! Take Out Your Study Guide!!! That’s all folks

One-Third of a Negative One-Half Piece #14 Draw one-third (horizontal) Draw negative one-half (vertical) 1 3 -1 2 What is of ? Draw a picture (overlay them). + • – = –

Multiply #15 You do NOT need common denominators  Multiply the numerators and denominators straight across. 7 4 28 Change the improper fraction to a mixed number = 2 3 6 4 4 Reduce! 6 6) 2 28 4 2 = 4 4 ÷ 24 3 6 2 ÷ 4

Extras

Multiplying Fractions

Multiplying Fractions

One-Third of a One-Half Piece #Extra One-Third of a One-Half Piece Draw one-third (horizontal) Draw one-half (vertical) 1 3 1 2 What is of ? Draw a picture (overlay them).