Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is the answer to 2/5 - 1/3?

Sagot :

Answer:  1/15

Work Shown:

2/5 - 1/3

6/15 - 5/15

(6-5)/15

1/15

Here are two ways to check the answer:

  • Type 2/5 - 1/3 into your calculator to get roughly 0.06667. The 6's actually repeat forever, but of course the calculator rounds at some point. You should notice that 1/15 has the same decimal value. Therefore 2/5 - 1/3 = 1/15
  • Type (2/5-1/3) - (1/15) into your calculator. You should get zero or very close to it. I'm using the fact that if A = B, then A-B = 0.

igoroleshko156

Hi Student!

Looking at the problem statement and them just asking for us to determine the difference between two numbers seems like an easy task.  The first thing that we must do is to find a common denominator so we subtract them otherwise we can not since the denominators are different.

The denominators of the fractions are 5 and 3 and we know that they both multiply up to 15 so that can be our common denominator.

Convert to common denominator

  • [tex]\frac{2}{5}-\frac{1}{3}[/tex]
  • [tex]\frac{2*3}{5*3}-\frac{1*5}{3*5}[/tex]
  • [tex]\frac{2*3}{15}-\frac{1*5}{15}[/tex]
  • [tex]\frac{6}{15}-\frac{5}{15}[/tex]

Subtract

  • [tex]\frac{6}{15}-\frac{5}{15}[/tex]
  • [tex]\frac{6-5}{15}[/tex]
  • [tex]\frac{1}{15}[/tex]

Therefore, the final answer to the question asking the difference between 2/5 and 1/3 would be 1/15.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.