A girl looking distraught
If you're frightened by fractions, this quiz will make things easier!

Fractions 3 (Medium)

In this Eleven Plus maths quiz on fractions, you will be asked to convert mixed fractions to improper ones, and vice versa. You’ll also need to be able to compare fractions and find which has the greater or lower value.

Here’s a little reminder:

  • Mixed fractions have a whole number and a fraction, e.g. 213 is a mixed fraction
  • Improper fractions have a larger numerator than denominator, e.g. 43 is an improper fraction

So, now we’ve remembered the two types of fraction, can you recall how to convert one to the other? If not then I suggest you go back and play some of our previous quizzes where it’s explained in detail.

Now on with the quiz. Good luck!

1.
What is 67 of 84?
82
78
72
66
Of means multiply in this case: 67 × 84 = (6 × 84) ÷ 7 = 504 ÷ 7 = 72. Do the brackets first
2.
What is 139 of 63?
91
84
77
70
Of means multiply in this case: 139 × 63 = (13 × 63) ÷ 9 = 819 ÷ 9 = 91. 139 is greater than 1, so the answer will be more than 63
3.
Which is greater: 12 x 113, or 13 x 19?
12 x 113
13 x 19
They are both the same
There is not enough information to answer the question
To multiply fractions, times the numerators by each other, and the denominators by each other: 12 x 113 = 126
13 x 19 = 127
4.
What is 312 + 36 + 34?
114
112
113
116
First, convert all the fractions to the same numerator: 312 + 36 + 34 = 312 + 612 + 912 = 1812. We then convert this into a mixed fraction: 1612 which can be simplified to 112
5.
What is 1316 - 12 + 34?
1516
1
1116
118
1316 - 12 + 34 = 1316 - 816 + 1216 = 1716 which is the same as 1116
Convert all the fractions to the same numerator, then do your calculations. 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 194 as a mixed fraction?
514
5
434
412
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: 19 ÷ 4 = 4. STEP 2: Remainder 3. STEP 3: 434
7.
What is 634 as an improper fraction?
284
274
264
254
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: 6 × 4 = 24. STEP 2: 24 + 3 = 27. STEP 3: 274
8.
How many thirteenths are there in 6?
72
74
76
78
There are thirteen thirteenths in 1, so there are 13 × 6 = 78 thirteenths 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 to make 1, but you need ten tenths to make 1 and so on.
REMEMBER this stuff, and you won't get confused with fractions
9.
What is 278 as an improper fraction?
218
238
258
278
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: 2 × 8 = 16. STEP 2: 16 + 7 = 23. STEP 3: 238
10.
What is 435 as a mixed fraction?
815
735
835
915
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: 43 ÷ 5 = 8. STEP 2: Remainder 3. STEP 3: 835
Author:  Frank Evans

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