1.4 Sharing Many Things

Objective:-I can divide a group into equal parts and name the parts with fractions.

Big Idea: We have been learning how to find fractions of a single whole. Today you will learn how to find fractions of a group of objects.

Example• I have 12 marbles in my collection. I

want to give my friend half of them. How many marbles will I give to my friend?

Draw a picture to solve.

Here’s a few other strategies

• Draw a box• split it in half• share the 12 things

between the two boxes.• Count the number of

objects in one half.

So, ½ of 12 = 6

• Draw 12 objects and color every second one (or whatever your denominator is).

• Count the number you have colored in.

So, ½ of 12 = 6

Guided PracticeLets try another example…

1) Oscar picked 12 apples. He gave 1/3 of the apples to Gil and 1/3 of the apples to Becky. How many apples did each of them get?

We are trying to find 1/3 of 12. In order to figure this out you want to divide 12 into 3 equal groups. 12 divided by 3 equals 4. Therefore, 1/3 or 12 is 4.

Let’s say I wanted to find 2/3 of 12. Since I know 1/3 of 12 is 4, 2/3 of 12 would be 8. I multiplied the 4 by 2 since I am looking for two thirds instead of one third.

 

You try these…

2) Pilar picked 12 apples. She gave ¼ of the apples to Dwayne, ¼ of the apples to Murphy, and ¼ of the apples to Kelley. How many apples did each of them get?

3) Chiang picked 12 apples. She gave 1/6 of the apples to each of her 5 friends. How many apples did each friend get?

Answers (Self Check)

2. 3 apples (12 divided by 4)

3. 2 apples (12 divided by 6)

One more… Solve somewhere in your notebook!

• Sarah received 20 new stickers for her birthday. She gave her sister ¾ of the stickers. How many stickers did she give her sister?

Answer (Self Check)

• 20 divided by 4 equals 5. Then you need to do 5 x 3 in order to find ¾ and not ¼ and it equals 15. 

• She will give her sister 15 sitckers.