# How To Add Fractions?

Contents

## What are the rules for simplifying fractions?

1.10 Simplifying Fractions Simplifying a fraction is writing a number in its most basic form. Sometimes fractions involve very large numbers in both the numerator (top number) and in the denominator (bottom number). As a general rule, it is easier to work with simpler fractions. So, always simplify. There are three basic rules for simplifying fractions:

Any number written over 1 is that number. A fraction can be simplified if the top and bottom numbers can both be divided by the same number, without leaving a remainder. If the top number is larger than the bottom number, and neither number can be divided by the same number, divide the top number by the bottom number.

Select the correct answer(s) from the questions below: : 1.10 Simplifying Fractions

## What is an example of a fraction addition?

Solved Examples – Let us solve some problems based on adding fractions.Q.1: Add 1/2 and 7/2. Solution: Given fractions: 1/2 and 7/2 Since the denominators are the same, hence we can just add the numerators here, keeping the denominator as it is. Therefore, 1/2 + 7/2 = (1+7)/2 = 8/2 =4 Q.2: Add 3/5 and 4.

#### Why can’t you add denominators?

A denominator indicates how many equal pieces make one unit. If you add the denominators when adding fractions, the new denominator won’t describe how many equal pieces are in one unit.

#### Why can’t you add fractions with different denominators?

Adding Fractions Examples – Try adding these fractions on your own and then scroll down to see if you’re correct! When in doubt, it can help to draw a picture to help you visualize the problem. Before you add the fractions, make sure to check that they have the same denominator! If the denominators are different, we can’t combine them because the pieces are not the same size. In the first problem, both the denominators are 9 so they have a common denominator. In the second problem, both fractions have a common denominator of 5. This means we can add the numerators together (the 1 and the 3) and keep the same denominator (there are a total of 5 pieces in the whole). This gives us the sum of 4/5.

#### Can you add fractions with different denominators yes or no?

2. How do you add two fractions with a different denominator? – It’s easy to add two fractions with different denominators. Just multiply the numerators and denominators together, then add the numbers from the numerator and the numbers from the denominator. Example: 5/12 + 4/13 = 5 x 4/13 + 12 = 24/13

#### How do you add mixed fractions Year 6?

When adding mixed numbers, you can use a similar method to adding two fractions, but this time you have to add whole numbers as well. Remember, a mixed number is a combination of an integer (a whole number) and a fraction, like \( 3 \frac \), What is \( 1 \frac + 2 \frac \) ? Let’s break this calculation down into steps.

- The method below allows you to partition the mixed numbers into fractions and whole numbers, so that you can add them separately.
- Step 1: Partition the mixed numbers, so you are left with the whole numbers together and the fractions together.
- 1 + 2\) and \( \frac + \frac \) You can quickly add the whole numbers together to make 3.

\( 1 + 2 = 3\) Step 2: Focus on the fractions now. \(\frac + \frac = ?\) The fractions have different denominators, so you need to change one into its equivalent fraction before you add them. You can’t simplify \( \frac \) any further, so you will have to change \( \frac \),

- Frac = \frac \) By multiplying the numerator and denominator by 3, you can find an equivalent fraction.
- Step 3: Now that the denominators are the same, you can add the numerators together.
- Frac + \frac = \frac \) Step 4: Finally, add the answers from the whole numbers and fractions together.
- 3 + \frac = 3 \frac \) Jeannie and Oliver ordered lots of pizzas.

Jeannie ate \( 2 \frac \) pizzas and Oliver ate \( 1 \frac \), How much pizza did they eat altogether? Let’s write that as a calculation. \( 2 \frac + 1 \frac \) Step 1: Partition the fractions and whole numbers to add them separately. \( 2 + 1 = 3\) and \( \frac + \frac \) Step 2: Change one of the fractions so they both have the same denominator.

- Partition and add whole numbers.
- Check and change denominators.
- Add the fractions.
- Whole numbers answer + fractions answer = final answer!

Have a go at solving these three problems involving addition of mixed fractions. You may need a pen and paper.

- Add these mixed fractions together. Can you give the answer in its simplified form?
- 3 \(\frac \) + 9 \(\frac \)
- 8 \(\frac \) + 2 \(\frac \)
- 5 \(\frac \) + 6 \(\frac \)

- On Saturday, there was 9 \(\frac \) hours of sunshine. On Sunday, there was 6 \(\frac \) hours of sunshine. How many hours of sunshine were there over the whole weekend?
- Charlie has completed the calculation:

2 \(\frac \) + 4 \(\frac \) = \(\frac \) + \(\frac \) = \(\frac \) + \(\frac \) = \(\frac \) = 7 \(\frac \) Frankie thinks he has spotted a mistake. Can you:

- Explain the mistake Frankie has spotted.
- Find the correct answer, showing your working out.

Once you’ve had a go, check your answers here. Apply what you have learnt in this guide by having a go at this tap and find activity.

## Why can’t you add fractions with different denominators?

Adding Fractions Examples – Try adding these fractions on your own and then scroll down to see if you’re correct! When in doubt, it can help to draw a picture to help you visualize the problem. Before you add the fractions, make sure to check that they have the same denominator! If the denominators are different, we can’t combine them because the pieces are not the same size. In the first problem, both the denominators are 9 so they have a common denominator. In the second problem, both fractions have a common denominator of 5. This means we can add the numerators together (the 1 and the 3) and keep the same denominator (there are a total of 5 pieces in the whole). This gives us the sum of 4/5.

#### Can you add fractions with different denominators yes or no?

2. How do you add two fractions with a different denominator? – It’s easy to add two fractions with different denominators. Just multiply the numerators and denominators together, then add the numbers from the numerator and the numbers from the denominator. Example: 5/12 + 4/13 = 5 x 4/13 + 12 = 24/13