Worksheets All Operations with Fractions

Fractions can be a tricky concept to grasp, but with the help of worksheets, mastering operations with fractions becomes more accessible. Whether you are a student looking to reinforce your understanding or a teacher searching for additional resources, worksheets provide a valuable tool for practicing and strengthening skills in dealing with fractions.

  Adding and Dividing Fractions Worksheets

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  Fractions Worksheets Grade 6

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  Multiplying Fractions Worksheets 6th Grade

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  Order of Operations Worksheets

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  Division with Decimals Worksheets 6th Grade

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  7th Grade Math Problems Worksheets

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  Rational Numbers Worksheets

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  6th Grade Math Worksheets Integers

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  7th Grade Math Worksheets Fractions

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  Fractions and Mixed Numbers Word Problems

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  4th Grade Math Word Problems Worksheets

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  Algebra Solving Linear Equations Worksheets

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  Order of Operations Worksheets 5th

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  2-Digit Multiplication Worksheets

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What is a fraction?

A fraction is a mathematical expression representing a part of a whole, consisting of a numerator (top number) and a denominator (bottom number) separated by a line. Fractions are used to describe quantities that are not whole numbers and can represent division, ratios, percentages, and proportions.

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. So, for example, if you have 1/4 + 3/4, you add the numerators (1+3=4) and keep the denominator the same (4). Therefore, the answer is 4/4, which simplifies to 1 whole.

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, simply subtract the numerators and keep the common denominator the same. For example, if you have 3/5 - 2/5, you subtract the numerators (3-2=1) and keep the denominator the same (5), resulting in 1/5.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators (top numbers) together to get the new numerator, and multiply the denominators (bottom numbers) together to get the new denominator. The resulting fraction is your answer, which may need simplification by reducing it to lowest terms if possible.

How do you divide fractions?

To divide fractions, you simply multiply the first fraction by the reciprocal of the second fraction. This means you keep the first fraction the same, then switch the numerator and denominator of the second fraction and multiply them together. Once you have multiplied the fractions, simplify the resulting fraction if necessary.

How do you add fractions with different denominators?

To add fractions with different denominators, you first need to find a common denominator by finding the least common multiple of the denominators. Once you have a common denominator, you can rewrite each fraction with this common denominator and then add the numerators together. Finally, simplify the resulting fraction if needed.

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. Then, rewrite each fraction with the common denominator and subtract the numerators. Finally, simplify the resulting fraction if needed by reducing it to its simplest form.

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

To convert a mixed number into an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. Place this sum over the original denominator to form the improper fraction. For example, to convert the mixed number 2 1/3, multiply 2 by 3 (whole number times denominator) to get 6, then add the numerator 1 to get 7. Write this as 7/3 to convert 2 1/3 into an improper fraction.

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

To convert an improper fraction into a mixed number, divide the numerator by the denominator to get the whole number part and the remainder as a new numerator. The denominator remains the same. For example, if you have the fraction 7/3, divide 7 by 3 to get a whole number of 2 with a remainder of 1. Therefore, the mixed number is 2 1/3.

How do you simplify a fraction to its lowest terms?

To simplify a fraction to its lowest terms, you need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by this GCD. This will give you the fraction in its simplest form where the numerator and denominator have no common factors other than 1. Keep dividing by the GCD until you can no longer simplify the fraction further.