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Inessa [10]
3 years ago
12

In a fraction the denominator is 5 more than numerator.When 3 is added to the numerator and 1 is added to the denominator the si

mplest form of the fraction is 2/3. Find the original fraction.​
Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ The original fraction can be written as:

x/x + 5

This is the information we have:

x + 3/x + 6 = 2/3

Cross multiply them:

3x + 9 = 2x + 12

Subtract 2x from both sides:

x + 9 = 8

Subtract 9 from both sides:

x = 3

The original fraction was 3/8

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Marysya12 [62]3 years ago
4 0

Answer:

<u> 3/8.</u>

Step-by-step explanation:

Let the original fraction be x / (x + 5).

Then (x + 3) /  (x + 5 + 1)  = 2/3

x + 3 / x + 6 = 2 / 3

Cross multiply:

3(x + 3) = 2(x + 6)

3x + 9 = 2x + 12

x = 12 - 9 = 3

The original fraction is 3 / (3 + 5)

=<u> 3/8.</u>

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