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3 years ago

Do u need a common denominator if you have adding and dividing in fractions?

2 answers:

8 0

No you don't because you use the reciprocal and then multiply to divide the fractions, not a common denominator, you need that when there are different denominators and you are adding/subtracting

Rama09 [41]3 years ago

4 0

You only need a common denominator for adding and subtracting! <span />

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The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

OlgaM077 [116]

Let the bigger no. be X and the smaller no. be Y

X-Y=48

7-3=4

48÷4=12

X=12×7=84

Y=12×3=36

6 0

3 years ago

Read 2 more answers

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

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