Jessie was given the problem 3 2/5÷3/10= to solve. Jessie’s work looks like this:
3 2/5 ÷ 3/10=
17/5 ÷ 3/10=
17x3
17/5 x 3/10= ---------
5x10
51/10 = 1 1/50
Jessie’s answer is incorrect. Answer the following questions about Jessie’s work.
a. Find and describe Jessie’s error.
b. What is the correct answer?
Please please please help! Last question on the Multiply and Divide Fractions Test! PLEASE!
17/5 ÷ 3/10 = 17/5 * 10/3 = 170/15 = 34/3 = 11 1/3
can you explain it a bit better @oobleck?
Jessie's statement "3/4 < 6/8" is correct.
To see why, we can first simplify both fractions to have the same denominator:
3/4 = 6/8 (multiply numerator and denominator by 2)
Now we can compare them directly:
3/4 = 6/8 <strong>(because they are equal)</strong>
So Jessie is correct that 3/4 and 6/8 are equivalent fractions, and therefore 3/4 is less than 6/8.
Her reasoning that 3/4 is between 0 and 1/2, while 6/8 is between 1/2 and 1, is not really relevant to the comparison of the two fractions.
Which fractions are closer to 0 than to 1?
Select all that apply.
The fractions that are closer to 0 than to 1 are the fractions less than 1/2.
So the possible options are:
- 1/3
- 2/5
- 5/8
- 3/4
- 7/8
Out of these options, only 1/3 and 2/5 are less than 1/2, so they are the fractions that are closer to 0 than to 1.
Therefore, the correct answer is:
- 1/3
- 2/5
Use the table.
Who has walked a fraction of a mile that is closer to neither 0 nor 1?
To find the person who has walked a fraction of a mile that is closer to neither 0 nor 1, we need to look at the "Fraction of a Mile Walked" column and find the fraction that is exactly halfway between 0 and 1.
Looking at the table:
| Person | Fraction of a Mile Walked |
|--------|--------------------------|
| A | 0.25 |
| B | 0.5 |
| C | 0.75 |
| D | 0.625 |
| E | 0.125 |
We can see that the only fraction that is exactly halfway between 0 and 1 is 1/2.
The person who has walked a fraction of a mile that is closest to 1/2 is person B, who has walked exactly 1/2 of a mile.
Therefore, there is no one who has walked a fraction of a mile that is closer to neither 0 nor 1 in this table.
Use the table.
Who has walked a fraction of a mile that is closer to neither 0 nor 1?
Name Fraction of Mile Walked
Isabella
5
6
Sara
3
6
Eddie
2
5
Dashawn
2
3
To find the person who has walked a fraction of a mile that is closer to neither 0 nor 1, we need to look at the "Fraction of Mile Walked" column and find the fraction that is exactly halfway between 0 and 1.
Looking at the table:
| Name | Fraction of Mile Walked |
|---------|------------------------|
| Isabella| 5/6 |
| Sara | 3/6 or 1/2 |
| Eddie | 2/5 |
| Dashawn | 2/3 |
The fraction that is exactly halfway between 0 and 1 is 1/2.
Out of the options given, Sara is the only one who has walked a fraction of a mile that is exactly 1/2.
Therefore, Sara has walked a fraction of a mile that is closer to neither 0 nor 1.
Jessie says that
3
4
<
6
8
, because
3
4
is between 0 and
1
2
, and
6
8
is between
1
2
and 1.
Which of her statements is correct?
Jessie says that
3
4
<
6
8
, because
3
4
is between 0 and
1
2
, and
6
8
is between
1
2
and 1.
Which of her statements is correct?