# Tutor profile: Nikhil D.

## Questions

### Subject: Basic Math

What is the average of these 3 fractions : (3/4), (4/5), and (1,2).

It's important to break down questions into manageable tasks for students, including checking to ensure the student knows the mathematical meaning of "average", as well as how to add fractions. From there, it's best to have the student work out the problem instead of simply giving them the answer or solving it for them. First, convert the fractions to have a common denominator to allow addition of fractions. From there, ensure the student can divide to solve for the average. (3/4) = 15/20 = 0.75 (7/21)= 16/20 = 0.80 (1/2)= 10/20 = 0.50 Average is 41/20 = 0.6833

### Subject: English

What is your favorite book from high school English class?

My favorite book that I read in High School English was "To Kill a Mockingbird". After the countless number of essays and assignments I've done on this novel over the years, I've grown to respect the underlying message as well as the conflicts directly portrayed by Harper Lee. As the reader, we get to see the realization that Scout and Jem make regarding the moral nature of society and people around them. From believing that all humans are innocent and pure, to seeing the true adult perspective, the novel shows the point of view of many characters.

### Subject: Algebra

If x + x + x = 30, x + y + y = 18, and y - z = 2, then what does z + x * y equal?

It's important to tackle every question by breaking down the steps and equations. Try to find which equation is easiest to solve for any one variable, then use that value to solve the rest. For example, use the example x + x + x = 30 (simplified to 3x = 30), to solve x as 10. Moving to equation 2, x + y + y = 18, and knowing x = 10, we can solve for y to be 4. Finally, use the last given equation and substitute y = 4 to solve z = 2. Substitute all variables into the equation needing to be solved (z + x * y), and use order of operations to solve for the final solution of 42!

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