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Have you heard of 'improper fractions' and 'mixed fractions'? An improper fraction is a fraction in which the numerator is greater than or equal to the denominator, e.g. 5⁄3 and 9⁄9. A mixed fraction (also called a mixed number) is a number that has a whole number part and a fractional part, which is not written as a decimal, written as a single unit, e.g. 23⁄5. Here are a couple of tips:
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TIP 1: Don't forget: the numerator is the number at the top and the denominator is the number at the bottom of a fraction.
TIP 2: To convert a mixed fraction to an improper fraction, follow these steps:
- Multiply the whole number part by the denominator.
- Add this result to the numerator.
- Write the fraction with step 2 in the numerator and keep the original denominator.
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1.
|
What is 33⁄5 as an improper fraction? |
|
[ ] |
45⁄5 |
[ ] |
9⁄3 |
[ ] |
18⁄5 |
[ ] |
18⁄3 |
|
|
2.
|
What is the improper fraction 16⁄5 as a mixed fraction? |
|
[ ] |
316⁄5 |
[ ] |
31⁄5 |
[ ] |
161⁄5 |
[ ] |
106⁄5 |
|
|
3.
|
If you are asked to find 1⁄8 of something, what is the best method of doing it? |
|
[ ] |
Subtract 8 |
[ ] |
Add 8 |
[ ] |
Multiply by 8 |
[ ] |
Divide by 8 |
|
|
4.
|
What is 1⁄2 of 1⁄4? |
|
[ ] |
3⁄4 |
[ ] |
1⁄8 |
[ ] |
1⁄16 |
[ ] |
1⁄32 |
|
|
5.
|
Mary says that you can have one fifth of her candies. If she has 125 candies, how many candies will you get? |
|
[ ] |
75 |
[ ] |
25 |
[ ] |
45 |
[ ] |
65 |
|
|
6.
|
What is 63⁄9 as an improper fraction? |
|
[ ] |
19⁄3 |
[ ] |
18⁄9 |
[ ] |
54⁄3 |
[ ] |
57⁄3 |
|
|
7.
|
What is 54⁄18 as a mixed fraction? |
|
[ ] |
33⁄18 |
[ ] |
31⁄18 |
[ ] |
11⁄3 |
[ ] |
3 |
|
|
8.
|
Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose? |
|
[ ] |
£96 |
[ ] |
£32 |
[ ] |
£24 |
[ ] |
£48 |
|
|
9.
|
First, Anne had 4⁄16 of the cake. Then, James had 9⁄16 and finally, Henry had 6⁄16 of the cake. Is there anything wrong here? |
|
[ ] |
Anne should have been given more cake because she is a girl |
[ ] |
No. Bon appétit! |
[ ] |
Yes. Henry didn't get the stated amount of cake |
[ ] |
Yes. there won't be any cake left for Henry |
|
|
10.
|
What is one seventh of 49? |
|
[ ] |
42 |
[ ] |
56 |
[ ] |
7 |
[ ] |
343 |
|
|
1.
|
What is 33⁄5 as an improper fraction? |
|
[ ] |
45⁄5 |
[ ] |
9⁄3 |
[x] |
18⁄5 |
[ ] |
18⁄3 |
|
|
2.
|
What is the improper fraction 16⁄5 as a mixed fraction? |
|
[ ] |
316⁄5 |
[x] |
31⁄5 |
[ ] |
161⁄5 |
[ ] |
106⁄5 |
|
|
3.
|
If you are asked to find 1⁄8 of something, what is the best method of doing it? |
|
[ ] |
Subtract 8 |
[ ] |
Add 8 |
[ ] |
Multiply by 8 |
[x] |
Divide by 8 |
|
|
4.
|
What is 1⁄2 of 1⁄4? |
|
[ ] |
3⁄4 |
[x] |
1⁄8 |
[ ] |
1⁄16 |
[ ] |
1⁄32 |
|
|
5.
|
Mary says that you can have one fifth of her candies. If she has 125 candies, how many candies will you get? |
|
[ ] |
75 |
[x] |
25 |
[ ] |
45 |
[ ] |
65 |
|
|
6.
|
What is 63⁄9 as an improper fraction? |
|
[x] |
19⁄3 |
[ ] |
18⁄9 |
[ ] |
54⁄3 |
[ ] |
57⁄3 |
|
|
7.
|
What is 54⁄18 as a mixed fraction? |
|
[ ] |
33⁄18 |
[ ] |
31⁄18 |
[ ] |
11⁄3 |
[x] |
3 |
|
|
8.
|
Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose? |
|
[ ] |
£96 |
[ ] |
£32 |
[ ] |
£24 |
[x] |
£48 |
|
|
9.
|
First, Anne had 4⁄16 of the cake. Then, James had 9⁄16 and finally, Henry had 6⁄16 of the cake. Is there anything wrong here? |
|
[ ] |
Anne should have been given more cake because she is a girl |
[ ] |
No. Bon appétit! |
[x] |
Yes. Henry didn't get the stated amount of cake |
[ ] |
Yes. there won't be any cake left for Henry |
|
|
10.
|
What is one seventh of 49? |
|
[ ] |
42 |
[ ] |
56 |
[x] |
7 |
[ ] |
343 |
|
|