Put the Fractions in order from least to Greatest
1/8 3/8 1/4

Explanation:

1/4 = 2/8 after multiplying top and bottom by 2

The original set {1/8, 3/8, 1/4} updates to {1/8, 3/8, 2/8}

To sort the fractions, we sort the numerators. The numerators are {1,3,2} which sorts to {1,2,3}. Therefore, {1/8, 3/8, 2/8} sorts to {1/8, 2/8, 3/8}

The last step is to reduce 2/8 back to 1/4.

So {1/8, 2/8, 3/8} becomes {1/8, 1/4, 3/8}

Alternative Method:

Use your calculator, or use long division, to find the decimal form of each fraction

1/8 = 0.125

3/8 = 0.375

1/4 = 0.25    (note: it might help to think of 0.25 as 0.250)

Then sort the decimal values from least to greatest to get {0.125, 0.25, 0.375}

Lastly, replace each decimal value with its fractional equivalent

{0.125, 0.25, 0.375} --->  {1/8, 1/4, 3/8}

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places