Alan bought 20 yards of fencing. he used 5.9 yards to surround one flower garden and 10.3 yards to surround another garden.write the amount remaining as a fraction in simplest form.
The answer for this question is that the remaining amount fencing left
after Alan has completed his garden will be 3 4/5 yards. This can be
worked out, by first determining that the overall amount of fencing Alan
used was 5.9 + 10.3, to create a total of 16.2. The remaining amount of
fence can therefore be calculated by subtracting 16.2 from 20 to get
3.8 yeards. As a fraction this would then by written as 3 8/10, which
can then be simplified down to get your answer of 3 4/5.
step \(1\)
Determine the total amount of fencing used by Alan
\(5.9+10.3=16.2\ yards\)
step \(2\)
Determine the remaining amount of fence
Subtract \(16.2\) from \(20\)
\(20-16.2=3.8\ yards\)
step \(3\)
convert the amount remaining as a fraction in simplest form
\(3.8= 3+0.8 =3+\frac{8}{10} = 3\frac{4}{5} \ yards\)
therefore
the answer is
\(3\frac{4}{5} \ yards\)