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horsena [70]
3 years ago
9

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

Mathematics
2 answers:
Jet001 [13]3 years ago
7 0
First of all, you add 1/3 and 4/5, so you get:
\frac{1}{3} +  \frac{4}{5}

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:
\frac{1*5}{3*5} +  \frac{4*3}{5*3}
\frac{5}{15} +  \frac{12}{15}

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:
\frac{5+12}{15}
\frac{17}{15}

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:
\frac{17}{15} *  \frac{7}{1}

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

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
Anna11 [10]3 years ago
3 0

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

<h2>Further Explanation</h2>

Therefore we have:

= \frac{1}{3} + \frac{4}{5}

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

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

= 5 + 12 / 15

= \frac{17}{15}

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

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

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

= \frac{17}{15} x \frac{7}{1} (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.

= \frac{119}{15}

= 7\frac{14}{15}

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

LEARN MORE:

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

KEYWORDS:

  • multiplication
  • addition
  • sum
  • denominator
  • numerator
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