In this activity, you will be asked to solve a range of questions using your knowledge of **fractions, decimals and percentages.**

Here are some examples that will help you with the activity.

**Example 1:**

Write the decimal number **0.456** in expanded form

**Answer 1:**

Expanded form means to partition a number to see the place value of each digit clearly.

Because we are using a decimal number, we will write its expanded form using fractions.

**0.456 = 4/10 + 5/100 + 6/1000**

**Example 2:**

Francesca has completed **140** questions out of **200** in a huge quiz!

What is this as a decimal number?

**Answer 2:**

**Step 1:**

Convert the numbers to a fraction: 140/200

**Step 2:**

Next, to convert a fraction into a decimal number, you need to divide the numerator by the denominator.

It's easiest to use a calculator or you can use the written method of long division.

**140 ÷ 200 = 0.7**

**Francesca has completed 0.7 of her quiz.**

**Example 3:**

Wayne has **£85** from his savings.

He spends **1/5** buying a present for his Dad.

He then spends **30% **on a football ticket.

How much money does he have left?

**Answer 3:**

**Step 1:** Find 1/5 of £85

85 ÷ 5 = £17

Wayne has spent £17 on a present for his Dad.

**Step 2:** Find 30% of £85

First find 10%

£85 ÷ 10 =£8.5

10% = £8.50

30% = £8.50 x 3

= £25.50

**Step 3: **Add both amounts together

£25.50 + £17 = £42.50

**Step 4:** Subtract the total spent from the original amount

£85 - £42.50 = £42.50

Wayne has £42.50 left.