7th Grade Math Worksheets Adding and Subtracting Fractions

Adding and subtracting fractions can be a challenging concept for many 7th-grade math students. To help reinforce this skill, using worksheets can be a valuable tool. Worksheets provide practice problems that allow students to work at their own pace, focusing on the specific entity of adding and subtracting fractions. Whether students are struggling with finding the common denominator or simplifying their final answer, these worksheets offer targeted practice to enhance their understanding and improve their skills.

  Subtracting Fractions Worksheets

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  Adding Subtracting Fraction Worksheet 7th Grade

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  Adding Subtracting Mixed Fractions Worksheet

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  Adding Mixed Fractions with Like Denominators Worksheet

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  7th Grade Fraction Worksheets

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What is a fraction?

A fraction is a mathematical expression representing a part of a whole, typically written as one number (numerator) over another number (denominator) separated by a line. Fractions are used to show division or comparison of quantities that are not whole numbers and are important in many mathematical operations and real-life situations.

How do you add fractions with the same denominator?

To add fractions with the same denominator, simply add the numerators together while keeping the denominator the same. For example, if you are adding 1/4 + 2/4, you would add 1 + 2 to get 3, and keep the denominator as 4, resulting in the answer 3/4.

How do you add fractions with different denominators?

To add fractions with different denominators, you need to find a common denominator. This is a number that each denominator can divide evenly into. Once you have found the common denominator, you can then convert each fraction into equivalent fractions with that common denominator, add the numerators together, and simplify the result if needed.

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, simply subtract the numerators and keep the denominator the same. For example, to subtract 3/5 - 1/5, you would subtract the numerators (3-1 = 2) and keep the denominator (5) the same, resulting in 2/5. This works because when fractions have the same denominator, it means they are already divided into the same number of parts, making it easier to subtract.

How do you subtract fractions with different denominators?

To subtract fractions with different denominators, you first need to find a common denominator. To do this, determine the least common multiple (LCM) of the denominators. Once you have the common denominator, rewrite both fractions with the common denominator and then subtract the numerators while keeping the common denominator the same. Finally, simplify the result if needed by reducing the fraction to its simplest form.

Can you add or subtract fractions with different numerators?

No, you cannot add or subtract fractions with different numerators unless they have a common denominator. To add or subtract fractions with different numerators, you must first find a common denominator by either multiplying the denominators together or finding the least common multiple. Once you have a common denominator, you can then add or subtract the fractions by keeping the denominator the same and adding or subtracting the numerators.

Can you add or subtract fractions with different whole numbers?

Yes, you can add or subtract fractions with different whole numbers by finding a common denominator for the fractions. To do this, you need to identify the least common multiple of the denominators and convert both fractions to have the same denominator. Once the fractions have the same denominator, you can add or subtract the numerators accordingly while keeping the denominator the same.

Can you add or subtract fractions with mixed numbers?

Yes, you can add or subtract fractions with mixed numbers. To do so, first convert the mixed numbers to improper fractions. Once the mixed numbers are converted to improper fractions, you can then add or subtract the fractions as you would with regular fractions, by combining the numerators for addition or subtracting the numerators for subtraction, keeping the denominator the same. Remember to simplify the resulting fraction if necessary.

Are there any special rules for adding or subtracting fractions with zero as the numerator or denominator?

Yes, when adding or subtracting fractions with zero as the numerator, the result will always be the fraction with the non-zero numerator. When adding or subtracting fractions with zero as the denominator, the result will always be zero. This is because anything multiplied by zero is equal to zero.

How do you simplify an added or subtracted fraction to its simplest form?

To simplify an added or subtracted fraction to its simplest form, first find a common denominator for the fractions being added or subtracted. Then, perform the operation (addition or subtraction) using the common denominator and simplify the resulting fraction by finding the greatest common divisor of the numerator and denominator and dividing both by it. This will give you the fraction in its simplest form.