How do you take fraction out of a large whole number

Question

I continually get these questions on my homework, but we haven't gone over them. My teacher tells me we can use a calculator. However, I would like to be able to do these problems by hand. Here's one of many.

George will get 1/3 of an $80,250 inheritance. How much money will he receive?

Answer 1

When you take 1/3 of an amount, you are multiplying the amount by 1/3. Think of 1/3 of $80,250 as 80250/3.

Or you might visualize:

(1/3) (80250/1) = (1)(80250) / (3)(1). If 80250 is evenly divisible by 3, then that fraction reduces. In this particular case you can check for divisibility by 3 by adding the digits of 80250 to get 15. It that sum is divisible by 3 then so is the original number.

Long division results in:

$26,750. Hopefully you know how to perform long division of integers? If not, post a comment to get some additional guidance.

Answer 2

The proportion of the money that George gets is one third of the original sum of money. This is equivalent to dividing by 3, which in this case is

80250/3.

A trick to see if a number is divisible by three is to add up all the digits in the dividend, and if that sum is a multiple of 3, then the number is divisible by 3. Here, we have 8+0+2+5+0=8+7=15, which is divisible by 3 (5*3=15). Thus, we can use long division to find the quotient, which in this case turns out to be 26750.

Answer 3

Thank you for posing your question. Although one can solve these type of problems algebraically, it can be a nice exercise to approach problems logically as well!

So, the problem states:

George will get 1/3 of an $80,250 inheritance. How much money will he receive?

An approach --

Consider the $80,250 inheritance as the amount of a whole pie, which is 100%.

If the question had been for George to receive all or 100% of the $80,250 inheritance, then George would have received the entire $80,250, or the whole pie (as it relates to the prior sentence).

Now we know that George will receive 1/3 (or 33 .3%) of the 'whole' amount, with the whole amount being $80,250.

When one takes a portion of a whole, one multiples the portion (which in our case is 1/3) by the whole amount--here, our whole amount is $80,250.

So, 1/3 * $80,250 is similar to (1 * $80,250) / 3, since 1 is in the numerator and 3 is in the denominator in our given fraction of 1/3.

Now,

1 * $80,250 = $80,250

$80,250 / 3 = $26,750. Therefore, George will receive $26,750!

If you want to verify your answer (one should always verify, especially if you have enough time on a quiz, test, or exam), then multiply $26,750 * 3 to see what your result will be. You should arrive at $80,250! Which is the inheritance total in the original statement.

I hope that helps!

Answer 4

Think of it this way, you have a pie that is 85,250 big. You want to know how to cut it into 3 pieces. So, take the pie size, 85,250 and divide it by 3. The answer 26,750.

Keep things simple, is a key and relate to something you know.

Answer 5

George will get 1/3 of an $80,250 inheritance. How much money will he receive?

1/3 = 0.333333333 x 80250 = $26,750 Wouldn't advise to roundoff 1/3 to prevent wrong answer.

George will receive $26,750 of his inheritance

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.

Answer 6

Math was difficult for me until I realized that it is just finding what is missing in a sentence. I learned to replace certain words with math symbols to decode this "puzzle!"

Whenever we take a percentage OF a number, we are actually multiplying. I always substitute the multiplication symbol (x) for the "of" when completing math problems. Now, your problem is 1/3 (x) $85,250. Knowing that 1/3 = 0.33333 (continuous) we are multiplying 0.333 x 85,250, which = 26,750.

This looks like 0.333 x 85,250 = 26,750.

Therefore, George will get $26,750 from that $85,250 inheritance.

Another way to look at this is 1/3 x 85250, which is the same thing at 85,250/3 = 26,750