Module 3 Review (Part 1)

A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

Multiplying a fraction by a whole number means to take that fraction 'a' times and find the total amount. For example, $$\frac{1}{3} \times 3 = 1$$ .

To find a fraction of a number, multiply the number by the fraction. For example, to find $$\frac{1}{3}$$ of 23, calculate $$\frac{1}{3} \times 23$$ .

A whole refers to a complete unit or entity, without any parts missing.

A proper fraction has a numerator smaller than the denominator (e.g., $$\frac{2}{3}$$ ), while an improper fraction has a numerator larger than or equal to the denominator (e.g., $$\frac{5}{4}$$ ).

The process of dividing a whole into equal parts is called 'partitioning'.

To 'cut' a length of rope into pieces means to divide the rope into smaller segments of specified lengths.

A part of a whole can be expressed as a fraction, such as $$\frac{part}{whole}$$ .

The formula is: Length of shorter piece = Total length $$\times fraction$$ .

The numerator indicates how many parts of the whole are being considered.