Worksheet Test

Part 1: Identifying Equivalent Fractions

1. Are the following pairs of fractions equivalent?

   • 2/3 and 4/6
   • 3/4 and 6/8
   • 5/6 and 10/12

2. Determine whether or not the following fractions are equivalent to 1/2.

   • 2/4
   • 3/6
   • 4/8
   • 10/20

3. Which of the following fractions is equivalent to 3/5?

   • 6/10
   • 9/15
   • 12/20
   • 15/30

4. Determine which of the following fractions is equivalent to 2/3.

   • 3/4
   • 4/6
   • 6/8
   • 8/10

Part 2:

1. Find a fraction equivalent to 2/5 that has a denominator of 20.
2. Find a fraction equivalent to 3/8 that has a denominator of 24.
3. Find a fraction equivalent to 4/7 that has a denominator of 14.
4. Find a fraction equivalent to 5/6 that has a denominator of 18.

Part 3: Simplifying Fractions

1. Simplify the following fractions to their simplest form.

   • 6/12
   • 8/16
   • 10/20
   • 14/28

2. Simplify the following fractions to their simplest form and find an equivalent fraction with a denominator of 100.

   • 3/5
   • 4/7
   • 5/8
   • 7/11

3. Simplify the following fractions to their simplest form and find an equivalent fraction with a denominator of 24.

   • 2/3
   • 5/6
   • 7/8
   • 9/12

4. Simplify the following fractions to their simplest form and find an equivalent fraction with a denominator of 30.

   • 1/2
   • 2/3
   • 3/4
   • 4/5

Part 4: Word Problems

1. A recipe calls for 1/3 cup of sugar. If you want to make half the recipe, how much sugar do you need?
2. A pizza has 12 slices. If you eat 2/3 of the pizza, how many slices did you eat?
3. A group of 8 friends wants to share a pizza equally. If the pizza has 10 slices, what fraction of the pizza does each friend get?
4. A rectangle has a length of 12 inches and a width of 8 inches. What is the ratio of the length to the width in simplest form?

Part 5: Challenge Questions

1. Find three different fractions that are equivalent to 7/9.
2. Find three different fractions that are equivalent to 4/5.
3. Find three different fractions that are equivalent to 2/3.
4. Find three different fractions that are equivalent to 5/6.