How do you convert 2.67 (67 repeating) as a fraction

265/99

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.67 (67 repeating)

With 2 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 102 = 100

Equation 2:

100X=267.67 (67 repeating)

Subtract equation 1 from equation 2

100X = 267.67 (67 repeating)

X       = 2.67

We get :99X =   265

Solve for X

X=265/99

okay wait before i answer, is this for your points on a graph?

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: