Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

Sagot :

SoapyMcTavish
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
soneyedesola44

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 visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.