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Practice Questions: Introduction to Fractions, Decimals, and Percentages

Instructions

Solve the following problems. Show your work where needed.

Fractions

  1. Write the fraction 3/8 as a decimal.

  2. Simplify the fraction 24/36 to its lowest terms.

  3. Compare the fractions 4/7 and 5/9 using <, >, or =.

  4. A pizza is cut into 12 equal slices. If 5 slices are eaten, what fraction of the pizza is left?

  5. Convert the mixed number 3 2/5 to an improper fraction.

Decimals

  1. Write the decimal 0.75 as a fraction in simplest form.

  2. Arrange the decimals 0.3, 0.45, 0.405, and 0.5 in ascending order.

  3. Add 1.23 and 0.87. Write the answer as a decimal.

Percentages

  1. Write 75% as:

    • a) A fraction in simplest form

    • b) A decimal

  2. A class has 40 students. If 25% of the students ride their bikes to school, how many students is that?

Bonus Question

A shop has a sale where all items are 20% off. If the original price of an item is $45, what is the sale price? Show your calculations.