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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.
### 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.
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