Question

fraction four equivalent frac the players take turns rolling two 6 side dice. every time they form a fraction by using the smaller number as the numerator and the greater number as the denominator. they find the matching equivalent fraction on the table and color it or mark it by placing a marker on top. the first player to get four fractions in a row is the winner. www.mathcurriculum.com

Explanation:

Step1: Identify dice values

The dice show 4 and 5, so smaller = 4, larger = 5.

Step2: Form the fraction

Use smaller as numerator, larger as denominator: $\frac{4}{5}$.

Step3: Find equivalent fractions

Simplify or scale $\frac{4}{5}$ to match the board:

• $\frac{4}{5} = \frac{8}{10}$, $\frac{12}{15}$, $\frac{16}{20}$, $\frac{20}{25}$, $\frac{24}{30}$

Match to the board's fractions:

1. $\frac{8}{10}$ (top row, 2nd)
2. $\frac{12}{15}$ (top row, 6th; 4th row, 4th)
3. $\frac{16}{20}$ (top row, 4th)
4. $\frac{20}{25}$ (6th row, 6th)
5. $\frac{4}{5}$ (2nd row, 2nd)
6. $\frac{20}{24}$ is not equivalent, $\frac{12}{20}=\frac{3}{5}$, $\frac{9}{15}=\frac{3}{5}$, $\frac{6}{8}=\frac{3}{4}$, $\frac{8}{8}=1$, $\frac{2}{12}=\frac{1}{6}$, $\frac{30}{40}=\frac{3}{4}$, $\frac{4}{12}=\frac{1}{3}$, $\frac{9}{9}=1$, $\frac{5}{25}=\frac{1}{5}$, $\frac{3}{9}=\frac{1}{3}$, $\frac{6}{10}=\frac{3}{5}$, $\frac{4}{6}=\frac{2}{3}$, $\frac{2}{8}=\frac{1}{4}$, $\frac{2}{10}=\frac{1}{5}$, $\frac{4}{10}=\frac{2}{5}$, $\frac{5}{15}=\frac{1}{3}$, $\frac{3}{12}=\frac{1}{4}$, $\frac{4}{24}=\frac{1}{6}$, $\frac{12}{15}$ (6th row, 5th), $\frac{8}{20}=\frac{2}{5}$, $\frac{10}{25}=\frac{2}{5}$, $\frac{6}{9}=\frac{2}{3}$, $\frac{5}{20}=\frac{1}{4}$, $\frac{12}{24}=\frac{1}{2}$, $\frac{6}{36}=\frac{1}{6}$, $\frac{10}{12}=\frac{5}{6}$, $\frac{10}{20}=\frac{1}{2}$, $\frac{5}{10}=\frac{1}{2}$, $\frac{3}{15}=\frac{1}{5}$

Answer:

The valid equivalent fractions to $\frac{4}{5}$ on the board are:

• $\frac{4}{5}$ (2nd row, 2nd)
• $\frac{8}{10}$ (1st row, 2nd)
• $\frac{12}{15}$ (1st row, 6th; 4th row, 4th; 6th row, 5th)
• $\frac{16}{20}$ (1st row, 4th)
• $\frac{20}{25}$ (6th row, 6th)

These are the fractions you can mark on the board.