 Date: May 14, 2023   # Equivalent Fractions Worksheet Test

## Part A: Identifying Equivalent Fractions

1. Write two equivalent fractions for `1/2`.
2. Write two equivalent fractions for `2/3`.
3. Write two equivalent fractions for `3/4`.
4. Write two equivalent fractions for `4/5`.
5. Write two equivalent fractions for `5/6`.
6. Write two equivalent fractions for `6/7`.
7. Write two equivalent fractions for `7/8`.
8. Write two equivalent fractions for `8/9`.
9. Write two equivalent fractions for `9/10`.
10. Write two equivalent fractions for `10/11`.

## Part B: Simplifying Fractions

1. Simplify `4/8` to its lowest terms.
2. Simplify `10/20` to its lowest terms.
3. Simplify `15/30` to its lowest terms.
4. Simplify `6/9` to its lowest terms.
5. Simplify `12/24` to its lowest terms.
6. Simplify `8/12` to its lowest terms.
7. Simplify `21/28` to its lowest terms.
8. Simplify `27/45` to its lowest terms.
9. Simplify `16/32` to its lowest terms.
10. Simplify `25/50` to its lowest terms.

## Part C: Comparing Fractions

1. Which fraction is greater: `1/3` or `2/5`?
2. Which fraction is greater: `3/4` or `5/8`?
3. Which fraction is greater: `3/5` or `4/7`?
4. Which fraction is greater: `5/6` or `7/9`?
5. Which fraction is greater: `4/9` or `5/12`?
6. Which fraction is greater: `7/8` or `9/11`?
7. Which fraction is greater: `11/12` or `13/15`?
8. Which fraction is greater: `16/20` or `18/25`?
9. Which fraction is greater: `21/30` or `24/35`?
10. Which fraction is greater: `27/40` or `30/45`?

## Part D: Adding and Subtracting Fractions

1. Find the sum of `1/3` and `2/3`.
2. Find the sum of `3/4` and `1/4`.
3. Find the sum of `2/5` and `3/5`.
4. Find the sum of `1/2` and `1/4`.
5. Find the sum of `3/8` and `1/8`.
6. Find the difference between `2/3` and `1/3`.
7. Find the difference between `5/6` and `3/6`.
8. Find the difference between `4/5` and `2/5`.
9. Find the difference between `7/8` and `1/8`.
10. Find the difference between `11/12` and `5/12`.

## Part E: Multiplying and Dividing Fractions

1. Find the product of `1/2` and `2/3`.
2. Find the product of `3/4` and `1/2`.
3. Find the product of `2/5` and `5/6`.
4. Find the product of `4/7` and `7/8`.
5. Find the quotient of `2/3` and `1/2`.
6. Find the quotient of `4/5` and `1/5`.
7. Find the quotient of `3/4` and `2/3`.
8. Find the quotient of `5/6` and `2/3`.
9. Find the product of `2/5` and `5/6`.
10. Find the quotient of `4/7` and `7/8`.

Make sure to show all your work and simplify all fractions to lowest terms.

Good luck!