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Darya [45]
4 years ago
9

A particular fraction is equivalent to 2/3. The sum of its numerator and denominator is 105. What is the numerator of the fracti

on?
Mathematics
1 answer:
Sphinxa [80]4 years ago
3 0
3x = 2(105-x)
3x = 210-2x
5x=21x = 42 the numerator. 105-42=63
So 63 is the denominator
42/63 = 2/3
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Simplify y-2/3/y+1/5
liberstina [14]

Answer:

\frac{15y-10}{15y-3}

Step-by-step explanation:

First at all, we need to use a=\frac{a}{1} to convert this expression into a fraction, like:

y-\frac{2}{3} to convert into \frac{y}{1} -\frac{2}{3}.

Expand the fraction to get the least common denominator, like

\frac{3y}{3*1}-\frac{2}{3}

Write all numerators above the common denominator, like this:

\frac{3y-2}{3}

The bottom one used the same way to became simplest form, like this:

y+\frac{1}{5}

\frac{y}{1} +\frac{1}{5}

\frac{5y}{5*1}+\frac{1}{5}

\frac{5y+1}{5}

And it became like this:

\frac{3y-2}{3}/\frac{5y+1}{5}

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

\frac{3y-2}{3}*\frac{5y+1}{5}

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

\frac{3y-2(5)}{5y+1(3)}

Then, we should distribute 5 through the parenthesis

\frac{15y-10}{5y+1(3)}

\frac{15y-10}{15y+3}

And.... Here we go. That is the answer.

7 0
3 years ago
What should you do? Jason collects baseball cards. He has 33 cards. He wants to put 4 cards on each page of his book. How many p
Nastasia [14]

Answer:

Increase the quotient by one

Step-by-step explanation:

Since in the question it is mentioned that There is a total of 33 cards and wants to put 4 cards on each page

So for determining the number of pages for put all of his cards

We should do increment in the quotient by 1 as there is a requirement of an additional page for the left cards

Therefore the above is the answer

3 0
3 years ago
Compare the decimals 18.10 and 18.1.
musickatia [10]
18.10 = 18.1
6,324.50 = 6,324.5

7 0
4 years ago
Read 2 more answers
Show work please do
quester [9]
Here is your answer! I hope this helps.

6 0
3 years ago
Find two consecutive odd integers whose sum is -88
Flauer [41]
Hello there!

Make it an equation:

x + x + 2 = -88
2x + 2 = -88
2x = -88 + 2
2x = -86
x = -86/2
x = -43.

The numbers are -43 and -45.

Hope This Helps You!
Good Luck :)
6 0
3 years ago
Read 2 more answers
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