Question bank: Fractions: Parts of Natural Numbers

A craftsman is building a rectangular mosaic for an exhibition. He decided that a part of the mosaic will be composed of tiles in the shape of a 10 cm square. The mosaic will have 4 equal and identical parts, and he has already used 3 of these parts to complete the first half of the mosaic. Considering that a tile costs R$ 2.50, the craftsman wants to calculate the total cost of the tiles to finish the mosaic, knowing that the total area of the mosaic is 4 times the area of one of the parts he has already placed. Calculate the total cost for the craftsman to finish the mosaic.

To carry out the construction of a model, a group of 6th grade students decided to reproduce a city on a reduced scale. They decided that the scale would be 1:100, which means that each centimeter in the model represents 100 centimeters (or 1 meter) in the real city. After measuring the main street of the city, they found that its width is 40 meters. Now, the students need to calculate the width that the main street of the model should have, knowing that the scale used is 1:100. Additionally, they must determine the fraction that represents the width of the main street of the model in relation to the width of the real city street and simplify this fraction to the maximum, expressing it in its simplest form (i.e., without a common divisor between the numerator and the denominator).

A school is organizing a science fair where students will have to build ecosystem models. The materials for the models will be purchased in quantities that can be represented by fractions of a standard package. For example, if a standard package of soil for models contains 60 kg, and a student needs 2/3 of that package, what is the amount of soil in kg that the student will use? Explain how you arrived at this answer, showing the step-by-step calculation.

Joãozinho and Mariazinha are having fun with a large pizza for their afternoon snack. Joãozinho ate 3/8 of the pizza and Mariazinha ate 1/4 of the pizza. Who ate more? Explain your reasoning.