Multiplying Fractions by Whole Numbers

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Multiplying a fraction by a whole number means you are taking that fraction and adding it to itself a certain number of times, which can be visualized as scaling the fraction.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fractional part.

$$3 \frac{4}{12}$$ or $$\frac{40}{12}$$ (which simplifies to $$3 \frac{1}{3}$$ ).

The total is $$11 \frac{1}{4}$$ cups of water.

$$1 \frac{1}{2}$$ .

A whole number is a number without fractions or decimals, including zero (0, 1, 2, 3, ...).

The total weight is 3 Ib.

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Fractions can be interpreted as division; for example, $$\frac{a}{b}$$ means 'a divided by b'.