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Test: Simplifying fractions - Year 8 MCQ


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10 Questions MCQ Test - Test: Simplifying fractions

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Test: Simplifying fractions - Question 1

What is the biggest number you can divide into both the numerator and denominator of 33/66?

Detailed Solution for Test: Simplifying fractions - Question 1

The HCF of 33 and 66 is 33, as 33 divides both numbers, resulting in 33 ÷ 33 = 1 and 66 ÷ 33 = 2.

Test: Simplifying fractions - Question 2

How would you write 33/66 in its simplest form?

Detailed Solution for Test: Simplifying fractions - Question 2

The HCF of 33 and 66 is 33. Dividing both by 33 gives 33 ÷ 33 = 1 and 66 ÷ 33 = 2, so 33/66 = 1/2.

Test: Simplifying fractions - Question 3

How would you write 9/81 in its lowest terms?

Detailed Solution for Test: Simplifying fractions - Question 3

The HCF of 9 and 81 is 9. Dividing both by 9 gives 9 ÷ 9 = 1 and 81 ÷ 9 = 9, so 9/81 = 1/9.

Test: Simplifying fractions - Question 4

How would you write 12/18 in its simplest form?

Detailed Solution for Test: Simplifying fractions - Question 4

Divide 12 and 18 by 6 to get 12 ÷ 6 = 2 and 18 ÷ 6 = 3, so 12/18 = 2/3.

Test: Simplifying fractions - Question 5

What is 30/40 as a fraction in its simplest form?

Detailed Solution for Test: Simplifying fractions - Question 5

The HCF of 30 and 40 is 10. Dividing both by 10 gives 30 ÷ 10 = 3 and 40 ÷ 10 = 4, so 30/40 = 3/4.

Test: Simplifying fractions - Question 6

What is the biggest number you can divide into both the numerator and denominator of 12/18?

Detailed Solution for Test: Simplifying fractions - Question 6

The factors of 12 are 1, 2, 3, 4, 6, 12, and the factors of 18 are 1, 2, 3, 6, 9, 18. The HCF is 6.

Test: Simplifying fractions - Question 7

Simplify the fraction 18/24.

Detailed Solution for Test: Simplifying fractions - Question 7

The highest common factor (HCF) of 18 and 24 is 6. Dividing both the numerator and the denominator by 6, we get 18 ÷ 6 = 3 and 24 ÷ 6 = 4. Thus, 18/24 simplifies to 3/4.

Test: Simplifying fractions - Question 8

How would you write 10/100 in its simplest form?

Detailed Solution for Test: Simplifying fractions - Question 8

The HCF of 10 and 100 is 10. Dividing both by 10 gives 10 ÷ 10 = 1 and 100 ÷ 10 = 10, so 10/100 = 1/10.

Test: Simplifying fractions - Question 9

Which of the following fractions is equivalent to 4/16?

Detailed Solution for Test: Simplifying fractions - Question 9

The highest common factor (HCF) of 4 and 16 is 4.

Dividing both the numerator and the denominator by 4, we get 4 ÷ 4 = 1 and 16 ÷ 4 = 4.

Thus, 4/16 simplifies to 1/4.

Test: Simplifying fractions - Question 10

Simplify the fraction 45/60.

Detailed Solution for Test: Simplifying fractions - Question 10

The highest common factor (HCF) of 45 and 60 is 15.

Dividing both the numerator and the denominator by 15, we get 45 ÷ 15 = 3 and 60 ÷ 15 = 4.

Thus, 45/60 simplifies to 3/4.

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