Which one of the following pairs of numbers contains like fractions?

a. 4⁄8 and 12⁄16
b. 6⁄7 and 60⁄70
c. 1⁄2 and 3⁄2
d. 5⁄4 and 4⁄5

Option (B) is the correct answer.

Step-by-step explanation:

Like fractions are the two rational numbers which have same numerator and denominator.

For example, and are like fractions.

In the given options, = and = . Thus, these are not like fractions.

In and , the fraction = . Hence, these are like fractions.

Similarly, in and , the numerators and denominators of both the fractions are not equal to each other. Thus, they are not like fractions.

In and , the numerators and denominators of both the fractions are not equal to each other. Thus, they are not like fractions.

Therefore, we can conclude that out of the given options only and are  pairs of numbers which contains like fractions.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

answer:   y=2x-3

step-by-step explanation: