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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.

User SVP
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2 Answers

6 votes

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+(8)/(10) = 3(4)/(5) \ yards

therefore

the answer is


3(4)/(5) \ yards


User TacoEater
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7.2k points
3 votes
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.
User Berrytchaks
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7.9k points