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 [tex]\frac{1}{2}[/tex] of his property and leaves the rest wild.
Let us count the remaining parts, still in the form of fractions.
[tex]\boxed{ \ one \ part - \frac{1}{2} = \ ? \ }[/tex]
[tex]\boxed{ \ 1 - \frac{1}{2} = \ ? \ }[/tex]
Equate the denominator, [tex]\boxed{ \ 1 \ becomes \ \frac{2}{2} \ }[/tex].
[tex]\boxed{ \ = \frac{2}{2} - \frac{1}{2} = \ }[/tex]
[tex]\boxed{ \ \frac{1}{2} \ }[/tex]
Therefore, the wild area is [tex]\frac{1}{2}[/tex] of its property.
Secondly, he decides to use [tex]\frac{1}{5}[/tex] of the wild area for a vegetable garden.
Let us calculate the fraction of the property used for the garden.
[tex]\boxed{ \ \frac{1}{5} \times \frac{1}{2} = \ ? \ }[/tex]
Recal that [tex]\boxed{ \ \frac{a}{b} \times \frac{m}{n} = \frac{a \times m}{b \times n} \ }[/tex]
[tex]\boxed{ \ = \frac{1 \times 1}{5 \times 2} \ }[/tex]
[tex]\boxed{ \ = \frac{1}{10} \ }[/tex]
Thus, the fraction of the property used for the garden is [tex]\frac{1}{10}[/tex].
Learn more
- How many times does he switch strokes during the race? brainly.com/question/11494844
- 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462
- [tex]\frac{2}{3}[/tex] of the product of [tex]\frac{3}{8}[/tex] and 16 brainly.com/question/961462
Keywords: Noah mows, 1/2 of his property, leaves the rest wild, he decides, to use, 1/5 of the wild area, for a vegetable garden, what fraction, is used for the garden
