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2. Write the following fractions as decimals.
a) [tex]\frac{1}{4} =[/tex] 0.25

b) [tex]\frac{3}{10} =[/tex]

c) [tex]\frac{2}{5} =[/tex]

d) [tex]\frac{1}{25} =[/tex]

3. Elizabeth is trying to raise [tex]£3000[/tex] for charity. A local business gives her [tex]£1600[/tex], and she raises [tex]£800[/tex] from an auction.

a) How much more does she need to raise to reach her target?
[tex]£[/tex]


Sagot :

Sure, let's solve the problem step-by-step.

### Part 2: Write the following fractions as decimals

We start by converting each fraction to its decimal form:

a) [tex]\(\frac{1}{4}\)[/tex]

To convert [tex]\(\frac{1}{4}\)[/tex] to a decimal, you divide 1 by 4:
[tex]\[ \frac{1}{4} = 0.25. \][/tex]

b) [tex]\(\frac{3}{10}\)[/tex]

To convert [tex]\(\frac{3}{10}\)[/tex] to a decimal, you divide 3 by 10:
[tex]\[ \frac{3}{10} = 0.3. \][/tex]

c) [tex]\(\frac{2}{5}\)[/tex]

To convert [tex]\(\frac{2}{5}\)[/tex] to a decimal, you divide 2 by 5:
[tex]\[ \frac{2}{5} = 0.4. \][/tex]

d) [tex]\(\frac{1}{25}\)[/tex]

To convert [tex]\(\frac{1}{25}\)[/tex] to a decimal, you divide 1 by 25:
[tex]\[ \frac{1}{25} = 0.04. \][/tex]

So the decimal values for the given fractions are:
a) [tex]\(0.25\)[/tex]
b) [tex]\(0.30\)[/tex]
c) [tex]\(0.40\)[/tex]
d) [tex]\(0.04\)[/tex]

### Part 3: Calculate how much more Elizabeth needs to raise

Elizabeth's target amount is £3000.

She has already received £1600 from a local business and £800 from an auction.

To find out how much she still needs to raise, we first calculate the total amount she has already raised:
[tex]\[ 1600 + 800 = 2400 \][/tex]

Now, subtract this total from her target amount to find the remaining amount:
[tex]\[ 3000 - 2400 = 600 \][/tex]

So, Elizabeth needs to raise an additional £600 to reach her target.