TUESDAY 1-14-25 = Benchmark fractions

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

A fraction is 'less than' half if its value is smaller than $$\frac{1}{2}$$ . For example, $$\frac{1}{4}$$ is less than half.

A fraction is 'more than' half if its value is greater than $$\frac{1}{2}$$ . For example, $$\frac{3}{4}$$ is more than half.

A fraction is 'equal to' half if its value is exactly $$\frac{1}{2}$$ . For example, $$\frac{2}{4}$$ is equal to half.

To compare fractions, you can find a common denominator or convert them to decimals. This helps you see which fraction is larger or smaller.

The fraction $$\frac{4}{5}$$ is closer to 1 because it is only $$\frac{1}{5}$$ away from 1.

The fraction $$\frac{2}{6}$$ simplifies to $$\frac{1}{3}$$ .

The fraction $$\frac{5}{9}$$ is closer to 0.5 than to 1.

The fraction $$\frac{4}{8}$$ simplifies to $$\frac{1}{2}$$ .

A benchmark fraction is a commonly used fraction that helps in estimating and comparing other fractions. Examples include $$\frac{1}{2}$$ , $$\frac{1}{4}$$ , and $$\frac{3}{4}$$ .