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How Do You Add Fractions with the Same Denominator?

To add fractions that have the same bottom number (denominator), follow these easy steps:

Step 1: Find the Denominator

First, make sure both fractions have the same bottom number.

For example, with the fractions 3/8 and 2/8, the bottom number (denominator) is 8.

Step 2: Add the Top Numbers

Next, keep the bottom number the same and only add the top numbers (numerators) together.

For our example: 3/8 + 2/8 = (3 + 2)/8

This gives us: 5/8

Step 3: Simplify if You Can

After you find the answer, check if you can make the fraction simpler.

In our example, 5/8 is already in the simplest form because 5 and 8 don’t have any common numbers except for 1.

Example Problem:

Let’s look at the fractions 1/4 and 3/4:

  • Step 1: The common bottom number is 4.
  • Step 2: Now, we add the top numbers:

1/4 + 3/4 = (1 + 3)/4 = 4/4

  • Step 3: If we simplify 4/4, we get 1.

Important Things to Remember:

  • When adding fractions with the same bottom number, only add the top numbers.
  • The bottom number stays the same.
  • Always check if the fraction can be made simpler.

Why This Matters:

Many students find adding fractions tricky. Research shows that about 30% of Year 7 students do well with this skill on national tests.

Learning to add fractions is important because it helps with harder math topics later, like algebra and ratios. Being good at adding fractions with the same bottom number shows you understand fractions, which helps with math overall.

By practicing these steps regularly, students can feel more confident and get better at working with fractions. This skill is very important in math!

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How Do You Add Fractions with the Same Denominator?

To add fractions that have the same bottom number (denominator), follow these easy steps:

Step 1: Find the Denominator

First, make sure both fractions have the same bottom number.

For example, with the fractions 3/8 and 2/8, the bottom number (denominator) is 8.

Step 2: Add the Top Numbers

Next, keep the bottom number the same and only add the top numbers (numerators) together.

For our example: 3/8 + 2/8 = (3 + 2)/8

This gives us: 5/8

Step 3: Simplify if You Can

After you find the answer, check if you can make the fraction simpler.

In our example, 5/8 is already in the simplest form because 5 and 8 don’t have any common numbers except for 1.

Example Problem:

Let’s look at the fractions 1/4 and 3/4:

  • Step 1: The common bottom number is 4.
  • Step 2: Now, we add the top numbers:

1/4 + 3/4 = (1 + 3)/4 = 4/4

  • Step 3: If we simplify 4/4, we get 1.

Important Things to Remember:

  • When adding fractions with the same bottom number, only add the top numbers.
  • The bottom number stays the same.
  • Always check if the fraction can be made simpler.

Why This Matters:

Many students find adding fractions tricky. Research shows that about 30% of Year 7 students do well with this skill on national tests.

Learning to add fractions is important because it helps with harder math topics later, like algebra and ratios. Being good at adding fractions with the same bottom number shows you understand fractions, which helps with math overall.

By practicing these steps regularly, students can feel more confident and get better at working with fractions. This skill is very important in math!

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