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Questions and Answers
What is the simplest form of the fraction $\frac{18}{24}$?
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?
Which number is divisible by 5?
- 72
- 46
- 85 (correct)
- 102
Convert the fraction $\frac{45}{60}$ to its simplest form.
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?
What is the rule for a number to be divisible by 3?
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Which of the following fractions is already in simplest form?
Which of the following fractions is already in simplest form?
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What fractions are equivalent to 3/4? Choose more than one answers
What fractions are equivalent to 3/4? Choose more than one answers
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Which of the following numbers is divisible by 6?
Which of the following numbers is divisible by 6?
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Which fraction cannot be simplified further?
Which fraction cannot be simplified further?
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What is the prime factorization of 36?
What is the prime factorization of 36?
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Which rule applies for a number to be divisible by 4?
Which rule applies for a number to be divisible by 4?
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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.
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