Question

Noah mows 1/2 of his property and leaves the rest wild. He decides to use 1/5 of the wild area for a vegetable garden. What fraction of the property is used for the garden?

Answer 1

In word problems, the word 'of' almost always means 'multiply'.

1/2 *of* 1/5

1/2 = 0.5
1/5 = 0.2

0.5 * 0.2 = 0.1

0.1 = 1/10
Noah uses 1/10 of his yard for his garden.
Hope that helped! =)

Answer 2

¹/₁₀

Further explanation

Given:

• Noah mows ¹/₂ of his property and leaves the rest wild.
• He decides to use ¹/₅ of the wild area for a vegetable garden.

Question:

What fraction of the property is used for the garden?

The Process:

We know that the key word or phrase 'of' is used to describe a common mathematical operation, which is multiplication.

Firstly, Noah mows $\frac{1}{2}$ of his property and leaves the rest wild.

Let us count the remaining parts, still in the form of fractions.

$\boxed{ \ one \ part - \frac{1}{2} = \ ? \ }$

$\boxed{ \ 1 - \frac{1}{2} = \ ? \ }$

Equate the denominator, $\boxed{ \ 1 \ becomes \ \frac{2}{2} \ }$.

$\boxed{ \ = \frac{2}{2} - \frac{1}{2} = \ }$

$\boxed{ \ \frac{1}{2} \ }$

Therefore, the wild area is $\frac{1}{2}$ of its property.

Secondly, he decides to use $\frac{1}{5}$ of the wild area for a vegetable garden.

Let us calculate the fraction of the property used for the garden.

$\boxed{ \ \frac{1}{5} \times \frac{1}{2} = \ ? \ }$

Recal that $\boxed{ \ \frac{a}{b} \times \frac{m}{n} = \frac{a \times m}{b \times n} \ }$

$\boxed{ \ = \frac{1 \times 1}{5 \times 2} \ }$

$\boxed{ \ = \frac{1}{10} \ }$

Thus, the fraction of the property used for the garden is $\frac{1}{10}$.

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