7th and 8th Math Fraction Worksheets with Answers

Are you in search of comprehensive and easily accessible worksheets to help your students grasp the concepts of fractions in 7th and 8th grade math? Look no further! Our collection of math fraction worksheets is designed to provide students with a thorough understanding of this crucial topic. With detailed explanations and step-by-step solutions, these worksheets ensure that students can confidently tackle fraction-related problems and improve their mathematical skills.

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  3 Grade Math Worksheets

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  Two-Step Inequalities Worksheets

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  5th Grade Math Word Problems Worksheets

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  Fraction Multiplication Word Problems 5th Grade

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  Fraction Multiplication Word Problems 5th Grade

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  Fraction Multiplication Word Problems 5th Grade

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What is a fraction?

A fraction is a numerical quantity that represents a part of a whole. It consists of two numbers, a numerator and a denominator, separated by a horizontal line. The numerator represents the amount being considered, while the denominator represents the total number of parts that make up the whole. Fractions are used to express values that are not whole numbers, allowing us to represent values in between integers.

How do you simplify fractions?

To simplify a fraction, you need to divide both the numerator (top number) and the denominator (bottom number) by their greatest common factor (GCF). Keep dividing until you cannot simplify any further. This will give you the simplest form of the fraction.

What is a mixed number?

A mixed number is a combination of a whole number and a fraction, written together. For example, 3 1/2 is a mixed number, where 3 is the whole number part and 1/2 is the fractional part.

How do you convert a mixed number to an improper fraction?

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the result to the numerator of the fraction. The sum becomes the new numerator, while the denominator remains the same. For example, if you have the mixed number 2 1/4, you would multiply 2 by 4 (the denominator) to get 8, then add 8 to 1 to get 9. So, 2 1/4 as an improper fraction is 9/4.

How do you add or subtract fractions with the same denominator?

To add or subtract fractions with the same denominator, you simply add or subtract the numerators while keeping the denominator the same. For example, if you have 1/5 + 2/5, you would add the numerators (1 + 2 = 3) and keep the denominator the same (5) to get 3/5. Similarly, to subtract fractions with the same denominator, you would subtract the numerators while keeping the denominator unchanged.

How do you add or subtract fractions with different denominators?

To add or subtract fractions with different denominators, you need to find a common denominator. This can be achieved by finding the least common multiple of the denominators. Once you have a common denominator, you can then add or subtract the fractions by performing the operation on the numerators while keeping the common denominator. Simply add or subtract the numerators and keep the common denominator to get the final fraction result.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators (top numbers) together to get the new numerator, and then multiply the denominators (bottom numbers) together to get the new denominator. The result is the product of the two fractions in its simplest form, which can be further reduced if needed.

How do you divide fractions?

To divide fractions, you need to first flip the second fraction (the divisor) upside down to make it a reciprocal. Then, multiply the first fraction (the dividend) by the reciprocal of the second fraction. This can be simplified by canceling out any common factors between the numerators and denominators before multiplying across. The final result is your answer to the division of fractions.

What is a decimal equivalent of a fraction?

A decimal equivalent of a fraction is obtained by dividing the numerator of the fraction by the denominator using long division or a calculator. The result will be a decimal number that represents the fraction in decimal form.

How do you convert a fraction to a decimal?

To convert a fraction to a decimal, divide the numerator by the denominator. The result of this division will be the decimal equivalent of the fraction. If the division does not result in a whole number, continue dividing until you reach the desired level of accuracy in the decimal representation.