Concepts in fractions

What is the process to simplify a fraction?

• To multiply both the numerator and the denominator by their least common multiple (LCM).

• To divide both the numerator and the denominator by their greatest common divisor (GCD).

• To add the numerator and the denominator together.

• To subtract the numerator from the denominator.

What is a fraction?

• A fraction represents a part of a whole, consisting of a numerator and a denominator.

• A fraction is a whole number divided by another whole number.

• A fraction is a decimal number that represents a part of a whole.

• A fraction is a percentage that shows how much of a whole is represented.

What is a mixed number?

• A whole number combined with a fraction, such as 1 @@\frac{1}{2}@@

• A number that is only a fraction, like @@\frac{3}{4}@@

• A decimal number that represents a part of a whole, like 0.75

• A number that is the sum of two whole numbers, like 2 + 3

What does it mean for two fractions to be equivalent?

• Two fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators.

• Two fractions are equivalent if they have the same numerator and denominator.

• Two fractions are equivalent if their decimal representations are the same.

• Two fractions are equivalent if they can be simplified to the same fraction.

What is an improper fraction?

• A fraction where the numerator is less than the denominator, such as @@\frac{1}{2}@@.

• A fraction where the numerator is equal to the denominator, such as @@\frac{3}{3}@@.

• A fraction where the numerator is greater than or equal to the denominator, such as @@\frac{5}{4}@@.

• A fraction that cannot be simplified further.

How do you find an equivalent fraction?

• By adding the same number to the numerator and denominator.

• By multiplying or dividing both the numerator and the denominator by the same non-zero number.

• By subtracting the same number from the numerator and denominator.

• By changing the numerator to a different number while keeping the denominator the same.

What is the numerator in a fraction?

• The bottom number in a fraction that indicates the total parts

• The top number in a fraction that indicates how many parts are being considered

• The number that represents the whole in a fraction

• The number that is always equal to one in a fraction

How can you represent fractions on a number line?

• Divide the line into equal parts based on the denominator and mark the corresponding part.

• Use a ruler to draw the fraction directly on the line.

• Estimate the position of the fraction without dividing the line.

• Draw a circle to represent the fraction instead of a line.

How do you subtract fractions with different denominators?

• Find a common denominator, convert the fractions, and then subtract the numerators.

• Simply subtract the numerators and denominators separately.

• Multiply the denominators and then subtract the numerators.

• Add the fractions first before subtracting.

How do you add fractions with the same denominator?

• Add the numerators and keep the denominator the same. For example, @@\frac{1}{4} + \frac{2}{4} = \frac{3}{4}@@

• Multiply the numerators and add the denominators.

• Add the denominators and keep the numerator the same.

• Subtract the numerators and keep the denominator the same.