What fraction of the rectangle is shaded? Explain how you know.

1. Locate and label \(\frac{3}{4}\) and \(\frac{6}{4}\) on the number line.

   

2. Explain why your points represent \(\frac{3}{4}\) and \(\frac{6}{4}\).

Write a multiplication expression for each image. Explain your reasoning.

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Write an expression that matches each diagram. Then find the value of each expression.

There are 5 friends that go on a hike. They each bring \(\frac{1}{4}\) cup of nuts.

1. If the shaded parts represent the amount of nuts the friends bring on their hike, which diagram matches the story? Explain your reasoning.

   

   

2. How many cups of nuts do the friends bring on the hike?

Kiran’s cat eats \(\frac{1}{2}\) cup of food each day.

1. How much food does Kiran’s cat eat in a week?
2. Draw a diagram to represent the situation.

1. Draw a diagram to show \(3 \times \frac{7}{8}\).
2. How does the diagram help you find the value of the expression \(3 \times \frac{7}{8}\)?

Each bead weighs \(\frac{5}{8}\) gram. How much do 7 beads weigh? Explain or show your reasoning.

1. Measure how thick your book is to the nearest \(\frac{1}{8}\) inch.
2. If your classmates stacked their books together, how tall would the stack be? Explain or show your reasoning.
3. Check your answer by measuring the stack, if possible.

Diego walks the same number of miles to school each day. He says he walks \(\frac{48}{5}\) miles in total, but he does not say how many days that distance includes.

What are some possible numbers of days Diego walks to school? What is the distance he walks each of those days?