# Worksheet

## Instructions

Read each question carefully and choose the best answer. Show your work for all calculations.

## Part 1: Identifying Fractions

- What is a fraction?
- What is a numerator?
- What is a denominator?
- What is a proper fraction?
- What is an improper fraction?
- What is a mixed number?
- What is a unit fraction?
- What is a like fraction?
- What is an unlike fraction?
- What is a simplest form fraction?

## Part 2: Finding Fractions of a Whole

- What is a whole number?
- What is a fraction of a whole?
- What is the formula for finding a fraction of a whole?
- What is the fraction of 30 that is represented by 10?
- What is the fraction of 50 that is represented by 25?
- What is the fraction of 100 that is represented by 75?
- What is the fraction of 80 that is represented by 20?
- What is the fraction of 90 that is represented by 45?
- What is the fraction of 120 that is represented by 60?
- What is the fraction of 150 that is represented by 30?

## Part 3: Solving Word Problems

- If a pizza has 8 slices and John ate 2 slices, what fraction of the pizza did he eat?
- If there are 30 students in a class and 12 are girls, what fraction of the class is made up of boys?
- If you have 18 marbles and 6 of them are blue, what fraction of the marbles are not blue?
- If a recipe calls for 3 cups of flour and you only have 1 cup, what fraction of the flour do you need to buy?
- If a train is 300 meters long and a quarter of the train has already passed, how many meters of the train still need to pass by to completely cross a bridge that is 1000 meters long?

## Part 4: Comparing Fractions

- What is the symbol used for “greater than” in comparing fractions?
- What is the symbol used for “less than” in comparing fractions?
- What is the symbol used for “equal to” in comparing fractions?
- Compare the fractions 1/3 and 2/6
- Compare the fractions 3/4 and 5/8

## Part 5: Adding and Subtracting Fractions

- What is the formula for adding fractions with like denominators?
- What is the formula for adding fractions with unlike denominators?
- What is the formula for subtracting fractions with like denominators?
- What is the formula for subtracting fractions with unlike denominators?
- Simplify the following fraction: 6/12 + 2/12
- Simplify the following fraction: 5/8 + 1/2
- Simplify the following fraction: 9/10 – 3/10
- Simplify the following fraction: 2/5 – 1/4

## Part 6: Multiplying and Dividing Fractions

- What is the formula for multiplying fractions?
- What is the formula for dividing fractions?
- Simplify the following fraction: 3/4 * 1/2
- Simplify the following fraction: 5/6 * 2/3
- Simplify the following fraction: 2/3 ÷ 4/5
- Simplify the following fraction: 6/7 ÷ 3/4

## Part 7: Converting Fractions

- What is the formula for converting a mixed number to an improper fraction?
- What is the formula for converting an improper fraction to a mixed number?
- Convert the mixed number 2 1/3 to an improper fraction.
- Convert the mixed number 3 2/5 to an improper fraction.
- Convert the improper fraction 12/5 to a mixed number.
- Convert the improper fraction 16/3 to a mixed number.

**End of Worksheet**