Name 3 fractions that are equivalent to . Explain or show your reasoning.

Explain why the fractions and are equivalent.

Find 2 fractions equivalent to . Explain or show why they are equivalent to . Use the number line if you think it is helpful.

Jada says that is equivalent to because the numerator and denominator of are each 2 times the numerator and denominator of .

1. Explain why Jada’s reasoning is correct.

2. Use Jada’s method to find another fraction equivalent to .

Mai is thinking of a fraction. She gives several clues to help you guess her fraction. Try to guess Mai’s fraction after each clue.

1. My fraction is equivalent to .
2. The numerator of my fraction is greater than 10.
3. A factor of my numerator is 8.
4. The numbers 8 and 5 are a factor pair of my numerator.

Think of a fraction: 

Write several clues so a friend or family member can guess your fraction. Then present the clues one at a time and ask them to make a guess after each one.

1. My fraction is equivalent to .

2. The numerator of my fraction is less than .

3. One multiple of my numerator is .

4. A factor pair of my denominator is  and .

1. Diego says he shaded of the diagram. Do you agree with Diego? Explain your reasoning.

   

2. Shade of the diagram. Explain how you know is shaded.