# Math: Middle School: Grades 6, 7 and 8 Quiz - Numbers - Fractions - Simplification (Questions)

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Simplification of fractions means looking for the highest common factor on the top and bottom numbers of the fraction in order to write the fraction in its simplest form.

By the time you've finished this Math quiz, you'll be a dab hand at the subject!

1. What is 30/40 as a fraction in its simplest form?
 [ ] 1/2 [ ] 3/4 [ ] 30/40 [ ] 300/400
2. What is the biggest number you can divide into both the numerator and denominator of 30/40?
 [ ] 3 [ ] 4 [ ] 10 [ ] There isn't one
3. How would you write 10/100 in its simplest form?
 [ ] 1/10 [ ] 1/100 [ ] 100/10 [ ] 10/1
4. How would you write 33/66 in its simplest form?
 [ ] 33/66 [ ] 3/6 [ ] 1/2 [ ] 3/4
5. What is the biggest number you can divide into both the numerator and denominator of 33/66?
 [ ] 3 [ ] 6 [ ] 11 [ ] 33
6. What is the biggest number you can divide into both the numerator and denominator of 71/92?
 [ ] 1/9 [ ] 7/9 [ ] 7/2 [ ] It's not possible
7. How would you write 9/81 in its lowest terms?
 [ ] 1/9 [ ] 9/1 [ ] 9/8 [ ] It's not possible
8. What is the biggest number you can divide into both the numerator and denominator of 12/18?
 [ ] 3 [ ] 6 [ ] 9 [ ] 12
9. How would you write 12/18 in its simplest form?
 [ ] 1/3 [ ] 2/3 [ ] 3/4 [ ] 5/10
10. What is the simplest way of writing 1/2?
 [ ] 1/4 [ ] 1/3 [ ] 1/2 [ ] 1/5
Math: Middle School: Grades 6, 7 and 8 Quiz - Numbers - Fractions - Simplification (Answers)
1. What is 30/40 as a fraction in its simplest form?
 [ ] 1/2 [x] 3/4 [ ] 30/40 [ ] 300/400
2. What is the biggest number you can divide into both the numerator and denominator of 30/40?
 [ ] 3 [ ] 4 [x] 10 [ ] There isn't one
Dividing 30 (the numerator) and 40 (the denominator) by 10 gives us 3/4
3. How would you write 10/100 in its simplest form?
 [x] 1/10 [ ] 1/100 [ ] 100/10 [ ] 10/1
The common factor is 10
4. How would you write 33/66 in its simplest form?
 [ ] 33/66 [ ] 3/6 [x] 1/2 [ ] 3/4
'Simplest form' is also known as 'lowest terms'
5. What is the biggest number you can divide into both the numerator and denominator of 33/66?
 [ ] 3 [ ] 6 [ ] 11 [x] 33
Although both numbers are divisible by 11, it isn't the HIGHEST common factor
6. What is the biggest number you can divide into both the numerator and denominator of 71/92?
 [ ] 1/9 [ ] 7/9 [ ] 7/2 [x] It's not possible
There is no common factor!
7. How would you write 9/81 in its lowest terms?
 [x] 1/9 [ ] 9/1 [ ] 9/8 [ ] It's not possible
Both numbers are divisible by 9
8. What is the biggest number you can divide into both the numerator and denominator of 12/18?
 [ ] 3 [x] 6 [ ] 9 [ ] 12
9. How would you write 12/18 in its simplest form?
 [ ] 1/3 [x] 2/3 [ ] 3/4 [ ] 5/10
10. What is the simplest way of writing 1/2?
 [ ] 1/4 [ ] 1/3 [x] 1/2 [ ] 1/5
1/2 is in its simplest form already!