Because the math is the same on all of these problems, I will only give a complete explanation for the first problem.
2. To line these numbers up from greatest to smallest, we must first convert all of the values to decimals. We can do this by completing the fractions, or just dividing the numerator by the denominator.
1
=
= 1.25
1
=
= 1.1
Now, we have our four decimals: 1.16, 1.25, 1.37, and 1.1
When we organize them by order of greatest to least, it looks like this:
1.37, 1.25, 1.16, 1.1
And when the fractions are put back in their rightful spots, it will be
1.37, 1
, 1.16, 1
3. For this one, we have the numbers
, 0.5,
, and 0.78.
Let's convert our fractions:
= 0.625
= 0.4
Now, we can organize:
0.78, 0.625, 0.5, and 0.4.
Putting our fractions back in, we end up with this:
0.78,
, 0.5, and
.
4. Here, we're organizing from smallest to largest, so we need to be aware of this when solving.
Convert the fractions:
= 0.5
= 0.6...
Now, we can organize from smallest to greatest:
0.39, 0.5, 0.6, 0.66...
Putting our fractions back in...
0.39,
, 0.6,
.
5.
L
et's convert our fractions:
7
=
= 7.25
7
=
= 7.75
Now, we can organize from smallest to greatest:
7.25, 7.4, 7.75, 7.77
Putting our fractions back in, it looks like this:
7
, 7.4, 7
, 7.77.
6. For these next two, we're back to greatest to smallest. Just to keep in mind.
To convert our fractions...
= 0.3
= 0.6
To organize:
0.222, 0.3, 0.53, 0.6
With our fractions,
0.222,
, 0.53,
.
7. Back to our fractions.
3
=
= 3.2
3
=
= 3.25
To organize:
2.96, 3.2, 3.25, 3.48
Putting our fractions back,
2.96, 3
, 3
, 3.48.
8. Just looking at these, we can remember that the fraction
translates to the decimal 0.2, and we have one judge giving an 8.2, and one judge giving an 8
. These scores are identical so these two judges had the closest result.
And there you have it for your answers.
Hope that helped! =)