# Tutor profile: Kelly K.

## Questions

### Subject: Pre-Algebra

What are the steps to solve 2$$\frac{3}{5}$$ $$\times$$ 4$$\frac{2}{3}$$?

As you may recall, multiplying proper fractions (such as $$\frac{1}{2}$$ or $$\frac{3}{5}$$) is done by simply multiplying both numerators together and both denominators together, like this: $$\frac{1}{2}$$ $$\times$$ $$\frac{3}{5}$$ = $$\frac{1 \times 3}{2 \times 5}$$ = $$\frac{3}{10}$$ However, when multiplying mixed numbers like the ones shown in the original expression, we must first convert them into improper fractions. To convert 2$$\frac{3}{5}$$ into an improper fraction, we use this process: 1) Multiply the number in front of the fraction by the denominator$$\rightarrow$$ 2 $$\times$$ 5 = 10 2) Add the answer from Step 1 to the numerator$$\rightarrow$$ 10 + 3 = 13 3) The answer from Step 2 is your new numerator, and your denominator stays the same$$\rightarrow$$ 2$$\frac{3}{5}$$ = $$\frac{13}{5}$$ Let's complete the same process for the second fraction: 4$$\frac{2}{3}$$ = $$\frac{(4 \times 3) + 2}{3}$$ = $$\frac{14}{3}$$ Now that we have two improper fractions, we can multiply them together using the same method we already know: $$\frac{13}{5}$$ $$\times$$ $$\frac{14}{3}$$ = $$\frac{13\times14}{5\times3}$$ = $$\frac{182}{15}$$ (or 12$$\frac{2}{15}$$)

### Subject: Basic Math

What are the steps to solve 9 + 4 ( 6 $$\div$$ 2 ) - 7?

To solve this expression, you must apply PEMDAS: 1) First, solve everything inside the parentheses and calculate any terms with exponents. 2) Next, compute all remaining multiplication and division components, moving left to right in the expression. 3) Finally, compute all remaining addition and subtraction components. Step 1, solve inside parentheses: 9 + 4 (6 $$\div$$ 2) - 7 = 9 + 4 (3) - 7 Step 2, compute multiplication/division: 9 + 4 (3) - 7 = 9 + 12 - 7 Step 3, compute addition/subtraction: 9 + 12 - 7 = 14 Therefore, the answer is 14.

### Subject: English

How do we know whether to use "their", "they're", or "there"?

The correct form of the word depends upon the context. "Their" indicates possession, so this form would be used to specify that something is owned by someone. For example, one might say, "The Hamilton Family loaned me this shovel, so I must remember that it is theirs." "They're" is a contraction for the words "they" and "are". If you use "they're" in a sentence and cannot accurately replace it with "they are", it is likely that you have used the wrong form of the word. For example, one might say, "Heather and Jessica were supposed to be here an hour ago. They're always late!" Notice how we could easily rephrase the second sentence to say, "They are always late!" "There" indicates a location, such as to say, "I am on my way to school; I will be there soon!" The trick to remembering when to use this form is that "there" contains the word "here", which is also a location.

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