Answered

IDNLearn.com: Your trusted source for finding accurate answers. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

7 times as much as the sum of 1/3 and 4/5

Sagot :

SoapyMcTavishidn
First of all, you add 1/3 and 4/5, so you get:
[tex] \frac{1}{3} + \frac{4}{5} [/tex]

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
[tex] \frac{1*5}{3*5} + \frac{4*3}{5*3} [/tex]
[tex] \frac{5}{15} + \frac{12}{15} [/tex]

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
[tex] \frac{5+12}{15} [/tex]
[tex] \frac{17}{15} [/tex]

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
[tex] \frac{17}{15} * \frac{7}{1} [/tex]

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
[tex] \frac{17*7}{15*1} [/tex]
[tex] \frac{119}{15} [/tex]

Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15. 

Hope this Helps! :D
Soneyedesola44idn

What you have to do first is to add [tex]\frac{1}{3}[/tex] and [tex]\frac{4}{5}[/tex],

Further Explanation

Therefore we have:

= [tex]\frac{1}{3}[/tex] + [tex]\frac{4}{5}[/tex]

= ( [tex]\frac{1}{3}[/tex] + [tex]\frac{4}{5}[/tex] ) / 15 (15 is the smallest number that divide both denominator also known as LCD)

= (5 x 1) + (3 x 4) / 15

= 5 + 12 / 15

= [tex]\frac{17}{15}[/tex]

Therefore, the sum of [tex]\frac{1}{3}[/tex] + [tex]\frac{4}{5}[/tex] is [tex]\frac{17}{15}[/tex]

But since the question says you should determine the sum of the 2 fractions, therefore you should multiply [tex]\frac{17}{15}[/tex] by 7. Therefore you should have:

[tex]\frac{17}{15}[/tex] X 7 (7 can also be expressed as [tex]\frac{7}{1}[/tex])

= [tex]\frac{17}{15}[/tex] x [tex]\frac{7}{1}[/tex] (notably, in multiplication there is no need for the fraction to have the same denominator. You can multiply both numbers at the top together (numerator) and do same with the denominator.

= [tex]\frac{119}{15}[/tex]

= [tex]7\frac{14}{15}[/tex]

Therefore, 7 times as much as the sum of [tex]\frac{1}{3}[/tex] and [tex]\frac{4}{5}[/tex] is [tex]7\frac{14}{15}[/tex]

LEARN MORE:

  • 7 times as much as the sum of 1/3 and 4/5  https://brainly.com/question/1063624
  • 7 times as much as the sum of 1/3 and 4/5  https://brainly.com/question/282415

KEYWORDS:

  • multiplication
  • addition
  • sum
  • denominator
  • numerator
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.