Fractions

1. Emma ate $\frac{3}{8}$ of the pizza.

• The denominator (8) tells us the pizza was cut into 8 equal parts.
• The numerator (3) tells us Emma ate 3 of those equal parts.

2. $\frac{2}{4}$ is located at the halfway point between 0 and 1.

It is between the whole numbers $0$ and $1$.

Since $\frac{2}{4} = \frac{1}{2}$, it is exactly in the middle — equally close to 0 and to 1.

3. Yes, $\frac{2}{4}$ and $\frac{1}{2}$ are equivalent fractions.

If you divide a rectangle into 4 equal parts and shade 2, you shade the same amount as dividing the rectangle into 2 equal parts and shading 1.

We can also show this with math: $\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}$.

4. Mia ate more.

Both fractions have the same denominator (6), so we compare the numerators:

$5 > 3$

Therefore $\frac{5}{6} > \frac{3}{6}$. Mia ate a larger portion of her sandwich than Carlos.

5. The fraction $\frac{1}{3}$ means that 1 whole cup is divided into 3 equal parts, and the recipe needs 1 of those parts.

$\frac{2}{3}$ cup would be more milk than the recipe needs, because $\frac{2}{3} > \frac{1}{3}$ (the denominators are the same, and $2 > 1$).