A farmer's land is separated into sections of size 3 3/4 acres. Suppose there are 2 1/5 such sections. How many acres of land does the farmer own? Write your answer as a mixed number in simplest form.

This is simple multiplication of fractions, not too bad!

we have 2 7/9 sections of farmland, each 2 1/5 acres large. To find the total acreage, multiply 2 1/5 by 2 7/9. The first step here is to convert to improper fractions.

To convert to improper fractions, multiply the denominator of the mixed number by the "whole number" portion of it. Then, add the numerator of the mixed number. For example, for 2 1/5, I would multiply 5 * 2 to get 10, then add 1 to get 11. Then, I keep the original denominator, so 11/5.

Let's do the same for 2 7/9. 9 * 2 = 18, then add 7 to get 25. The improper fraction is 25/9.

Now, we multiply the two fractions. This is just multiplying both numerators and both denominators, straight across.

(11*25)/(9*5) = 275/45 => 55/9, so that's the total acreage, or in decimal form, about 6.11 acres.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)