In 2004, a pine tree was 5 3/4 ft tall. if the tree grew at an average rate of 5/6 ft per year for the next 7 years, how tall would the tree have been in 2011?
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Step-by-step explanation:

Write down what you know:

2004 = 5 3/4 ft

5/6 ft per year, for 7 years

Height in 2011, we don't know so let's make that 'x'

Put your values in a simple equation

5 3/4 + 7( 5/6 ) = x

5 3/4 + 5 5/6 = x

Change to improper fractions

23/4 + 35/6 = x

Make common denominators by multiplying the 1st fraction by 3 and the 2nd by 2

69/12 + 70/12 = x

139/12 = x

Change your fraction back to a mix number

11 7/12

And there you go! The tree was 11 7/12 ft tall in 2011.