Equivalent Fractions Grade 4 Collection | Printable ... - Free Printable

Problem Description:

The task involves filling in the petals of "Fraction Flowers" with fractions that are equivalent to the fraction given in the center of each flower. The goal is to ensure that each petal contains a fraction that simplifies to the same value as the central fraction.

Solution Approach:

1. Understand Equivalent Fractions: Two fractions are equivalent if they represent the same value. This can be achieved by multiplying or dividing both the numerator and the denominator of a fraction by the same non-zero number.

2. Identify the Central Fraction: Each flower has a central fraction. We need to find fractions that are equivalent to this central fraction.

3. Simplify or Expand Fractions:
- To find equivalent fractions, we can either simplify the given fractions in the box or expand them by multiplying the numerator and denominator by the same number.
- Ensure that the simplified form of the fraction on each petal matches the central fraction.

4. Use the Provided Fractions: The problem provides a list of fractions in a box. We need to select appropriate fractions from this list for each petal.

Step-by-Step Solution:

#### Flower 1: Central Fraction = \( \frac{1}{2} \)
- Equivalent fractions of \( \frac{1}{2} \) can be found by multiplying both the numerator and the denominator by the same number.
- Possible equivalent fractions: \( \frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{5}{10}, \ldots \)

From the provided list, the fractions that are equivalent to \( \frac{1}{2} \) are:
- \( \frac{2}{4} \)
- \( \frac{3}{6} \)
- \( \frac{4}{8} \)
- \( \frac{5}{10} \)

#### Flower 2: Central Fraction = \( \frac{3}{4} \)
- Equivalent fractions of \( \frac{3}{4} \) can be found similarly.
- Possible equivalent fractions: \( \frac{6}{8}, \frac{9}{12}, \frac{12}{16}, \ldots \)

From the provided list, the fractions that are equivalent to \( \frac{3}{4} \) are:
- \( \frac{6}{8} \)
- \( \frac{9}{12} \)
- \( \frac{12}{16} \)

#### Flower 3: Central Fraction = \( \frac{7}{8} \)
- Equivalent fractions of \( \frac{7}{8} \) can be found by multiplying both the numerator and the denominator by the same number.
- Possible equivalent fractions: \( \frac{14}{16}, \frac{21}{24}, \frac{28}{32}, \ldots \)

From the provided list, the fractions that are equivalent to \( \frac{7}{8} \) are:
- \( \frac{14}{16} \)
- \( \frac{21}{24} \)
- \( \frac{28}{32} \)

#### Flower 4: Central Fraction = \( \frac{3}{4} \)
- This is the same as Flower 2. The equivalent fractions are:
- \( \frac{6}{8} \)
- \( \frac{9}{12} \)
- \( \frac{12}{16} \)

Final Answer:

The fractions to fill in the petals are:

- Flower 1 (Central: \( \frac{1}{2} \)):
- Petals: \( \frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{5}{10} \)

- Flower 2 (Central: \( \frac{3}{4} \)):
- Petals: \( \frac{6}{8}, \frac{9}{12}, \frac{12}{16} \)

- Flower 3 (Central: \( \frac{7}{8} \)):
- Petals: \( \frac{14}{16}, \frac{21}{24}, \frac{28}{32} \)

- Flower 4 (Central: \( \frac{3}{4} \)):
- Petals: \( \frac{6}{8}, \frac{9}{12}, \frac{12}{16} \)

Thus, the final answer is:
\[
\boxed{
\begin{array}{c}
\text{Flower 1: } \frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{5}{10} \\
\text{Flower 2: } \frac{6}{8}, \frac{9}{12}, \frac{12}{16} \\
\text{Flower 3: } \frac{14}{16}, \frac{21}{24}, \frac{28}{32} \\
\text{Flower 4: } \frac{6}{8}, \frac{9}{12}, \frac{12}{16}
\end{array}
}
\]