Fractions and Divisibility Quiz

Questions and Answers

What is the simplest form of the fraction $\frac{18}{24}$?

$\frac{9}{12}$

$\frac{3}{8}$

$\frac{2}{3}$

$\frac{3}{4}$ (correct)

Which number is divisible by 5?

85 (correct)

102

Convert the fraction $\frac{45}{60}$ to its simplest form.

$\frac{2}{3}$

$\frac{9}{10}$

$\frac{4}{5}$

$\frac{3}{4}$ (correct)

What is the rule for a number to be divisible by 3?

The sum of its digits must be divisible by 3. Signup and view all the answers

Which of the following fractions is already in simplest form?

$\frac{7}{9}$ Signup and view all the answers

What fractions are equivalent to 3/4? Choose more than one answers

6/8 Signup and view all the answers

Which of the following numbers is divisible by 6?

54 Signup and view all the answers

Which fraction cannot be simplified further?

17/19 Signup and view all the answers

What is the prime factorization of 36?

2 X 2 X 3 X 3 Signup and view all the answers

Which rule applies for a number to be divisible by 4?

The last two digits form a number that is divisible by 4. Signup and view all the answers

Study Notes

Quiz on Fractions and Divisibility Rules

Quiz designed to evaluate understanding of converting fractions to simplest form and applying divisibility rules.
Total of 10 questions featuring various concepts of fractions and divisibility.

Converting Fractions to Simplest Form

Simplifying a fraction involves dividing the numerator and denominator by their greatest common divisor (GCD).
Example: Simplifying 12/16:
- GCD of 12 and 16 is 4.
- Divide both by 4: 12 ÷ 4 = 3, 16 ÷ 4 = 4, resulting in 3/4.

Divisibility Rules

Rule for 4: A number is divisible by 4 if the last two digits form a number that is divisible by 4.
Rule for 5: A number is divisible by 5 if it ends in 0 or 5.
Rule for 6: A number is divisible by 6 if it is divisible by both 2 (even number) and 3 (sum of digits is divisible by 3).
Rule for 8: A number is divisible by 8 if the last three digits form a number that is divisible by 8.
Rule for 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
Rule for 10: A number is divisible by 10 if it ends in 0.

Prime Factorisation

Prime factorisation is breaking down a number into its prime factors.
Example: The number 28 can be factored as 2 x 2 x 7, or expressed using exponents as 2² x 7.
Understanding prime factorisation aids in finding GCD and LCM.

Equivalent Fractions

Equivalent fractions represent the same portion of a whole, achieved by multiplying or dividing both the numerator and denominator by the same number.
Example: 2/3 is equivalent to 4/6 (2 x 2 and 3 x 2).
Identifying equivalent fractions helps in determining proper simplifications and comparisons.

Description

Test your knowledge on converting fractions to their simplest form and understanding divisibility rules. This quiz includes 10 engaging questions designed to enhance your mathematical skills and boost your confidence in handling fractions and divisibility.