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What would you rather have: a half of a half of a half of something nice or a half of a quarter of something nice?
Fractions (Medium)
Fractions can be added, subtracted, and even multiplied. This 11 Plus Maths quiz helps you explore how these clever numbers work together to make new values.
1 .
What is 82⁄3 as an improper fraction?
24⁄3
16⁄3
26⁄3
10⁄3
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 8 × 3 = 24. STEP 2: 24 + 2 = 26. STEP 3: 26?3
2 .
What is 2⁄5 + 4⁄10 + 12⁄15?
16⁄15
26⁄3
8⁄5
18⁄10
2?5 + 4?10 + 12?15 = 2?5 + 2?5 + 4?5 = 8?5. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add/subtract the fractions by simply adding/subtracting their numerators - it really is as easy as that!
3 .
What is 2⁄3 of 21?
7
14
18
12
2?3 × 21 = (2 × 21) ÷ 3 = 42 ÷ 3 = 14. Do the brackets first. The word OF means multiply
4 .
How many sevenths are there in 6?
35
49
21
42
There are seven sevenths in 1, so there are 7 × 6 = 42 sevenths in 6. In general, the number in the denominator tells you how many fractions of that type are needed to make 1. For example, you need three thirds, 1?3, to make 1, but you need ten tenths, 1?10, to make 1 and so on. REMEMBER this stuff, and you won't get confused with fractions
5 .
What is 9⁄8 - 3⁄4 + 5⁄8
1
11⁄8
11⁄8
20⁄8
9?8 - 3?4 + 5?8 = 9?8 - 6?8 + 5?8 = 1. Reduce the fractions to their simplest forms, then add them. If the denominators are the same, you can add the fractions by simply adding their numerators - it really is as easy as that!
6 .
What is 12⁄5 as a mixed fraction?
22⁄12
122⁄5
22⁄5
52⁄5
To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 12 ÷ 5 = 2. STEP 2: Remainder 2. STEP 3: 22?5
7 .
What is two-thirds of £81?
£18
£54
£64
£27
2?3 × £81 = (2 × £81) ÷ 3 = £162 ÷ 3 = £54. Do the brackets first. The word OF means multiply
8 .
What is 43⁄5 as an improper fraction?
20⁄5
12⁄5
7⁄5
23⁄5
To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 4 × 5 = 20. STEP 2: 20 + 3 = 23. STEP 3: 23?5
9 .
What is 12⁄3 as a mixed fraction?
12⁄3
121⁄3
4
12
To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 12 ÷ 3 = 4. STEP 2: Remainder 0. STEP 3: 4. Be on the LOOKOUT for this sort of thing!
10 .
What would you rather have: a half of a half of a half of something nice or a half of a quarter of something nice?
A half of a quarter
They are both the same, so it doesn't matter which one you pick
A half of a half of a half
A half of a half
1?2 × 1?2 × 1?2 = 1?4 × 1?2 = 1?8. The word OF means multiply
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