Equivalent Fractions - Look & Write: Complete the fraction equations using the visual fraction models.

To solve these problems, we need to find equivalent fractions. This means finding different fractions that represent the same amount.

Here is how we do it step-by-step for each row:

1. The Green Circles (Top Row)
* First circle: It is split into 2 parts, and 1 is green. That is $\frac{1}{2}$.
* Second circle: It is split into 4 parts, and 2 are green. That is $\frac{2}{4}$. Notice that $1 \times 2 = 2$ and $2 \times 2 = 4$. We multiplied by 2.
* Third circle: It is split into 6 parts. To keep the fraction equivalent to $\frac{1}{2}$, we multiply the top and bottom of $\frac{1}{2}$ by 3.
* $1 \times 3 = 3$
* $2 \times 3 = 6$
* So, the fraction is $\frac{3}{6}$.
* Fourth circle: It is split into 8 parts. Multiply $\frac{1}{2}$ by 4.
* $1 \times 4 = 4$
* $2 \times 4 = 8$
* So, the fraction is $\frac{4}{8}$.
* Fifth circle: It is split into 10 parts. Multiply $\frac{1}{2}$ by 5.
* $1 \times 5 = 5$
* $2 \times 5 = 10$
* So, the fraction is $\frac{5}{10}$.

2. The Pink and Blue Circles (Second Row)
* Pink circles:
* First one: 1 part shaded out of 4 total. Fraction: $\frac{1}{4}$.
* Second one: 2 parts shaded out of 8 total. Fraction: $\frac{2}{8}$.
* Check: $1 \times 2 = 2$ and $4 \times 2 = 8$. They match.
* Answer: $\frac{1}{4} = \frac{2}{8}$
* Blue circles:
* First one: 1 part shaded out of 5 total. Fraction: $\frac{1}{5}$.
* Second one: 2 parts shaded out of 10 total. Fraction: $\frac{2}{10}$.
* Check: $1 \times 2 = 2$ and $5 \times 2 = 10$. They match.
* Answer: $\frac{1}{5} = \frac{2}{10}$

3. The Orange Circles (Third Row)
* First circle: 1 part shaded out of 3 total. Fraction: $\frac{1}{3}$.
* Second circle: 2 parts shaded out of 6 total. Fraction: $\frac{2}{6}$. (Multiply $\frac{1}{3}$ by 2).
* Third circle: 3 parts shaded out of 9 total. Fraction: $\frac{3}{9}$. (Multiply $\frac{1}{3}$ by 3).
* Answer: $\frac{1}{3} = \frac{2}{6} = \frac{3}{9}$

4. The Purple Circles (Bottom Row)
* First circle: 2 parts shaded out of 3 total. Fraction: $\frac{2}{3}$.
* Second circle: 4 parts shaded out of 6 total. Fraction: $\frac{4}{6}$. (Multiply $\frac{2}{3}$ by 2).
* Third circle: 6 parts shaded out of 9 total. Fraction: $\frac{6}{9}$. (Multiply $\frac{2}{3}$ by 3).
* Answer: $\frac{2}{3} = \frac{4}{6} = \frac{6}{9}$

Final Answer:
Row 1: $\frac{3}{6}, \frac{4}{8}, \frac{5}{10}$
Row 2: $\frac{1}{4} = \frac{2}{8}$ and $\frac{1}{5} = \frac{2}{10}$
Row 3: $\frac{1}{3} = \frac{2}{6} = \frac{3}{9}$
Row 4: $\frac{2}{3} = \frac{4}{6} = \frac{6}{9}$