# Tutor profile: Leuz H.

## Questions

### Subject: Basic Math

Are $$2/4$$ and $$1/2$$ equivalent fractions?

To help us determine whether two fractions are equivalent, we can use cross-multiplication technique. In cross multiplying two fractions, we multiply the numerator of the first given fraction to the denominator of the other. For this given, we multiply 2 from $$1/2$$ by 2 from $$2/4$$, $$2x2=4$$. Then do the same for the numerator of the second fraction and the denominator of the first. That is, 1 from $$1/2$$ by 4 from $$2/4$$, $$1x4=4$$. If the two products are equal, then the two fractions are equivalent. Thus, $$2/4$$ is equivalent to $$1/2$$.

### Subject: Agricultural Science

What are the basic components needed for plants to grow?

Most plants are autotrophic, which means that they produce their own food. Plants produce their own food through the process called photosynthesis. Photosynthesis is a process of converting carbon dioxide and water with the help of light energy to form glucose and oxygen. The glucose will serve as their source of energy for growth and development. Hence, the basic components needed for plants to grow are water, carbon dioxide, and light.

### Subject: Algebra

How do we simplify $$2x+3x+5y+4y$$?

First, we must identify like terms. Like terms are those that have the same variable. For this given, $$2x$$ and $$3x$$ are like terms and so are $$5y$$ and $$4y$$. After identifying like terms, we combine them. In combining like terms, we only change the numerical coefficient. Let us read $$x$$ as 'apples', $$y$$ as 'bananas'. We'll have, $$2 apples + 3 apples + 5 bananas + 4 bananas$$. Then we will have $$5 apples + 9 bananas$$, or equivalently, $$5x+9y$$. We cannot combine unlike terms so this is our final answer.

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