Lesson: Introduction to Percent

I think you're confusing "divide into" with "divide by"

Consider the fraction 10/2 = 5. We can read this as "ten divided by two equals five" or we can say "two divides into ten five times.

With regard to 3/8. If we were to divide 3 into 8 (as you suggest) then we'd get a number greater than 2, since 3 will divide into 8 over 2 times.

Does that help?

Sure, but the GRE's online calculator is pretty clunky, and the strategies in this video provide fast solutions.

Good question!
An easy approach would be to first divide numerator and denominator by a "nice" value so that they become less than 100, and then apply the technique provided in the video.

For example, let's convert 113/491 to an approximate percent.

First take 113/491 and divide numerator and denominator by 10 to get the EQUIVALENT fraction 11.3/49.1

At this point, we must recognize that if we multiply 49.1 by a number a little bit bigger than 2, we get 100.

So, if we take 11.3/49.1 and multiply top and bottom by a number a little bit bigger than 2, we get (a number a little bigger than 22.6)/100

In other words, 113/491 = 11.3/49.1 = a little more than 22.6%

Does that help?

Question link: https://gre.myprepclub.com/forum/what-percent-of-the-integers-between-10...

Hmmm, that is unusual phrasing. Typically one would say FROM 100 to 999 INCLUSIVE.
That said, the word "inclusive" means we must include 100 and 999 as well.

Cheers,
Brent

By the way, I liked that question so much, I created a new question: https://gre.myprepclub.com/forum/in-a-barrel-full-of-apples-45-of-the-ap...

Cheers,
Brent

You're referring to the table that appears at 2:50 in the above video.

The symbol you see in front of some of the decimals and percents isn't a negative symbol (-).
It's actually a tilde symbol (~), which stands for "approximately"

So, for example, even though 1/7 = 0.14285714...., we can say that 1/7 is approximately equal to 0.14

Or we can write: 1/7 = ~0.14

Cheers,
Brent

Here's a framework for you.

If the question asks "X is what percent greater than Y?". . .
. . . then the answer is (X - Y)/Y * 100

Here, the question asks "To the nearest whole percent, the number of drivers who were issued 3 parking tickets (X) is what percent greater than the number of drivers who were issued 4 of more parking tickets (Y)?"

We can reduce this to: 40 (X) is what percent greater than 36 (Y)?

Does that help?

Cheers,
Brent

We want to take the fraction 9/34 and create an equivalent fraction with 100 in the denominator.

34 x 2 = 68, which isn't very close to 100

34 x 3 = 102, which very close to 100.
Since 34 x 3 is a little bit bigger than 100, we need to multiply 34 by a number a little by less than 3 in order to get 100 in the denominator.

Does that help?

Cheers,
Brent

Hi Sajid,

I've seen a very very small handful of official questions that require long division (e.g., If N = 17/99, what is the 35th digit to the right of the decimal point of N?).

If your long division skills aren't great, you can always use the GRE's onscreen calculator.

Cheers,
Brent

This question tests your ability to convert percents to fractions.

Saying that "80% of Steph's annual income is from her full-time job" is the same as saying "80/100 of Steph's annual income is from her full-time job"

In other words, "4/5 of Steph's annual income is from her full-time job"

Does that help?

Cheers,
Brent

There are tons of practice questions to answer after watching each video. Please check the New Study Guide https://www.greenlighttestprep.com/content/study-guide