Question

A farmer has three hay fields. The area of one field is 7/8 acre. The are of another field is 5/6 acre. The area of the third field is 11/12 acre. What is the total area of the three fields?

Answer 1

Addition of fractions: write it down and then find a common denominator.
\[\frac{ 7 }{ 8 } + \frac{ 5 }{ 6 } + \frac{ 11 }{ 12 } =\]

Answer 2

Okay what I got was 22 over 24...then what???

Answer 3

oh, that would be 22 over 26?

Answer 4

What is the least common multiple of 8, 6, and 12. In other words what is the smallest number that is divisible by 8, 6, and 12, in other words, what is the smallest number you can divide 8, 6, and 12 into and get no remainder?

Answer 5

24 is correct. No change every fractio so it has denominator 24

Answer 6

But nothing goes evenly into 22 evenly except for 11

Answer 7

So the answer would be 11/12???

Answer 8

\[\frac{ 7 }{ 8 } \times \frac{ 3 }{ 3 } + \frac{ 5 }{ 6 } \times \frac{ 4 }{ 4 } + \frac{ 11 }{ 12 } \times \frac{ 2 }{ 2 }\]

Answer 9

When you multiply each two fractions, you get the same denominator\[\frac{ 21 }{ 24 } + \frac{ 20 }{ 24 } + \frac{ 22}{ 24 }\]

Answer 10

Now to add the fractions, add the numerators and write the same denominator

Answer 11

2.625
Or 2.6

Answer 12

They add to 63/24
Now you need to reduce

Answer 13

right...

Answer 14

Divide the numerator and the denominator by 3: 21/8

Answer 15

Now you can write it as a mixed numaral: 2 5/8, or as a decimal 2.625

Answer 16

HA! Then I got it right (see above). So the answer is 2.6...correct?

Answer 17

Now how would that be written as a fraction?

Answer 18

2 5/8 ???

Answer 19

Okay, I think I got it but not quite sure.

Answer 20

2 5/8 is correct