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 \(\frac{1}{10}\).
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
- \(\frac{2}{3}\) of the product of \(\frac{3}{8}\) 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
