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(a) (i) Write 20 cent as a fraction of €20 - Junior Cycle Mathematics - Question 2 - 2016

Question 2

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(a) (i) Write 20 cent as a fraction of €20. Give your answer in its simplest form. (ii) Write 0.5 cm as a fraction of 2 m. Give your answer in its simplest form.

Worked Solution & Example Answer:(a) (i) Write 20 cent as a fraction of €20 - Junior Cycle Mathematics - Question 2 - 2016

Step 1

Write 20 cent as a fraction of €20.

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Answer

To express 20 cent as a fraction of €20, first convert €20 to cents:

$€20 = 20 imes 100 = 2000 ext{ cents}$

Now, the fraction can be formed as:

$\frac{20}{2000}$

We simplify this fraction by dividing the numerator and denominator by 20:

$\frac{20 \, \div \, 20}{2000 \, \div \, 20} = \frac{1}{100}$

Step 2

Write 0.5 cm as a fraction of 2 m.

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Answer

First, convert 2 m to centimeters:

$2 ext{ m} = 2 imes 100 = 200 ext{ cm}$

Now, express 0.5 cm as a fraction of 200 cm:

$\frac{0.5}{200}$

To simplify, we can multiply both the numerator and the denominator by 10:

$\frac{5}{2000}$

Now simplify this fraction:

$\frac{5 \, \div \, 5}{2000 \, \div \, 5} = \frac{1}{400}$

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