Free 3rd Grade Math Worksheets Fractions

Are you a parent or teacher in search of free, high-quality math worksheets for your 3rd grade students? Look no further than our collection of engaging and educational fraction worksheets. Designed specifically for third graders, these worksheets offer a wide variety of activities that focus on fractions, helping students gain a solid understanding of this important mathematical concept.

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What is a fraction?

A fraction is a numerical quantity expressed as one whole number divided by another, typically written as a numerator over a denominator, representing a part of a whole or a ratio of two numbers.

How do you read and write fractions?

To read fractions, you say the numerator (top number) first, followed by the denominator (bottom number) pronounced as a cardinal number. For example, "2/3" is read as "two-thirds". To write a fraction, you place the numerator above the denominator with a horizontal line between them. The numerator represents the number of equal parts you have, while the denominator indicates the total number of parts that make up a whole. Remember to simplify fractions by dividing the numerator and denominator by their greatest common factor, if needed.

How do you divide a shape or object into equal parts to represent fractions?

To divide a shape or object into equal parts to represent fractions, you would need to first determine how many parts you want to divide it into (denominator of the fraction). Then, you would physically or visually divide the shape or object into that many equal parts, ensuring that each part is the same size. Each individual part represents a fraction of the whole shape or object, with the number of parts shaded or used determining the numerator.

How do you compare fractions using the symbols <, >, or =?

To compare fractions, you need to have a common denominator. Once you have the same denominator for both fractions, you can compare their numerators. The fraction with the larger numerator is greater in value, so it is represented with the > symbol. The fraction with the smaller numerator is less in value, so it is represented with the < symbol. If the numerators are equal, then the fractions are equal in value, so they are represented with the = symbol.

What is a mixed number and how is it different from an improper fraction?

A mixed number is a combination of a whole number and a proper fraction, such as 2 1/4. In contrast, an improper fraction has a numerator that is equal to or larger than the denominator, such as 9/4. The key distinction is that a mixed number is a whole number combined with a proper fraction, while an improper fraction does not have an easily recognizable whole number part.

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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the result to the numerator, and place it over the original denominator. Conversely, to convert an improper fraction to a mixed number, divide the numerator by the denominator to get the whole number part and the remainder becomes the new numerator, keeping the original denominator the same.

How do you add and subtract fractions with the same denominators?

To add or subtract fractions with the same denominators, simply add or subtract the numerators while keeping the denominator the same. For example, if you have 1/4 + 3/4, you would add the numerators (1+3 = 4) and keep the denominator the same (4), resulting in 4/4 which simplifies to 1 whole. If you have 5/6 - 2/6, you would subtract the numerators (5-2 = 3) while keeping the denominator the same (6), giving you 3/6 which simplifies to 1/2.

How do you add and subtract fractions with different denominators?

To add or subtract fractions with different denominators, first find a common denominator by identifying the least common multiple of the two denominators. Then, express each fraction with the common denominator by multiplying both the numerator and denominator of each fraction by the necessary factor. Finally, once both fractions have the same denominator, add or subtract the numerators and simplify the result if needed.

How do you multiply a fraction by a whole number?

To multiply a fraction by a whole number, simply multiply the numerator of the fraction by the whole number while keeping the denominator the same. For example, if you want to multiply the fraction 1/3 by the whole number 4, you would calculate it as 1/3 x 4 = 4/3 or 1 1/3.

How do you divide a fraction by a whole number?

To divide a fraction by a whole number, you convert the whole number into a fraction by placing it over 1. Then, you can simply multiply the fraction by the reciprocal of the converted whole number fraction to obtain the result. For example, to divide 1/3 by 5, you convert 5 to 5/1 and then find the reciprocal, which is 1/5. Then, you multiply 1/3 by 1/5 to get 1/15 as the answer.