When adding or subtracting fractions, it's important to ensure that the fractions have a common denominator. Here are the steps to follow:

- Find a common denominator for the fractions.
- Convert each fraction so they have the common denominator.
- Add the numerators together, keeping the common denominator the same.
- Simplify the resulting fraction if needed.

- Find a common denominator for the fractions.
- Convert each fraction so they have the common denominator.
- Subtract the numerators, keeping the common denominator the same.
- Simplify the resulting fraction if needed.

Let's add the fractions 1/4 and 1/3:

First, find the common denominator, which is 12. Then, convert each fraction:

1/4 = 3/12 (multiply both the numerator and denominator by 3)

1/3 = 4/12 (multiply both the numerator and denominator by 4)

Now, add the numerators together:

3/12 + 4/12 = 7/12

So, 1/4 + 1/3 = 7/12

Let's subtract the fractions 3/5 and 1/10:

First, find the common denominator, which is 10. Then, convert each fraction:

3/5 = 6/10 (multiply both the numerator and denominator by 2)

1/10 = 1/10

Now, subtract the numerators:

6/10 - 1/10 = 5/10 = 1/2

So, 3/5 - 1/10 = 1/2

Remember, practice is key to mastering addition and subtraction of fractions. With enough practice, you'll become more comfortable and proficient in working with fractions.

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Operations and Algebraic Thinking

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [K-OA1]

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [K-OA2]

Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). [K-OA3]

For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. [K-OA4]

Fluently add and subtract within 5. [K-OA5]

Number and Operations in Base Ten

Work with numbers 11–19 to gain foundations for place value.

Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. [K-NBT1]