Fractions of a Number Word Problems

In the last lesson, you've learned how to find the fraction of a number.

Do you still remember how? ๐ค

That's right!

๐ We find the** fraction of a number** by doing two steps: first,** multiply the whole number** by the** numerato**r, and then** divide the product we get** by the** denominator**.

Let's solve real-world problems about fractions of a number. ๐

Jane baked 24 chocolate chip cookies. She gave1/3 of the cookiesto her neighbor. How many cookies did she give to her neighbor?

๐ค What is the problem asking us to do?

That's right!

We need to figure out **what 1/3 of 24 is**.

**1/3 of 24** is the same as this:

**24 ร 1/3 = ?**

๐ First,** multiply** 24 by the numerator:

**24 ร 1 = 24**

๐ Then,** divide** the product we got by the denominator:

**24 รท 3 = 8**

โ
Now we know that she gave **8 cookies** to her neighbor. ๐ช

Here are more questions about this problem:

Of the cookies that were left, Jane gave3/4 to her parents, and sheate the rest. How many cookies did she give to her parents? How many cookies did she eat?

๐ The problem tells us to figure out two things:ย

- the number of cookies that Jane gave to her parents,

- the number of cookies that Jane ate.

๐ค But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.

She started with **24 cookies **and gave **8 cookies **away.ย

Let's **subtract**:

**24 - 8 = 16 cookies**

So, Jane had 16 cookies left.

๐ค How many cookies did Jane's parents get if she gave them** 3/4 of 16**?

**3/4 of 16** is the same as this:

**16 ร 3/4 = ?**

๐ First,** multiply** 16 by the numerator:

**16 ร 3 = 48**

๐ Then,** divide** the product we got by the denominator:

**48 รท 4 = 12**

โ
Jane gave **12 cookies **to her parents. ๐ช

๐ค Now, let's find out how many cookies Jane ate. ๐ค

We know that Jane ate all the cookies that were left.

She had 16 cookies. Then, she gave 12 to her parents.

How many are left?

๐ We need to** subtract** to figure this out:

**16 - 12 = 4**

โ
Jane ate **4 cookies**.

Great work!

Let's try to solve another word problem!

Jerry bought a box of nails. It has 80 nails in it. He used3/8 of the nailsto repair his fence and1/2 of the nailsto repair his roof. How many nails did he use to repair his fence? How many nails did he use to repair his roof? How many nails were left?

Let's answer the questions one at a time. ๐

๐ค How do we find the number of nails Jerry used to repair his fence?

That's right!ย

We need to find **what 3/8 of 80 **is.

This is the same as:

**80 ร 3/8 = ?**

๐** Multiply** 80 by the numerator.

**80 ร 3 = 240**

๐** Divide** the product we got by the denominator.ย

**240 รท 8 = 30**

โ
Jerry used **30 nails to repair his fence**. ๐

**80 ร 3/8 = 30**

๐ค How do we find the number of nails Jerry used to repair his roof?

You got it!

We need to find **what 1/2 of 80 is**.

This is the same as:

**80 ร 1/2 = ?**

๐** Multiply** 80 by the numerator.

**80 ร 1 = 80**

๐** Divide** the product we got by the denominator.

**80 รท 2 = 40**

โ
Jerry used **40 nails to repair his roof**. ๐

๐ค How many nails were left?

๐ First, we** add** the nails he used to repair his fence and his roof.

**30 + 40 = 70**

๐ Next, we** subtract** the total number of nails Jerry used in the repairs from the total number of nails he bought.

**80 - 70 = 10**

โ
**70 nails **were left.

Great job!

Are you ready for some practice? ๐ช

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