Question

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.

Answer 1

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.

Answer 2

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

$3\frac{4}{5} \ yards$