Fractions and Integers Worksheets

Are you looking for engaging and educational resources to help your students master fractions and integers? Look no further! Our comprehensive collection of worksheets is designed to provide targeted practice on these important topics. From understanding and comparing fractions to solving integer operations, our worksheets cater to students of different skill levels, making learning enjoyable and effective.

  7th Grade Math Worksheets Integers

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  Two-Step Equations Worksheet

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  Multiplying Integers Worksheet

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  7th Grade Math Worksheets Algebra

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  Equation

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  Math Fraction Strips Printable

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  Stem and Leaf Plot Worksheets 6th Grade

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  Vertical Number Line Worksheets

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  Adding and Subtracting Time Worksheets

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  3rd Grade Math Worksheets

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  4th Grade Math Addition Worksheets

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What is a fraction?

A fraction is a mathematical representation of a part of a whole, typically expressed as a ratio of two numbers where the numerator represents the part being considered, and the denominator represents the total number of parts that make up the whole. Fractions are used to represent quantities that are not whole numbers or integers.

How do you represent a fraction visually?

A fraction can be represented visually as a part of a whole, typically as a stacked pair of numbers with one on top of the other, where the top number (numerator) represents the parts being considered, and the bottom number (denominator) represents the total number of parts that make up the whole. The numerator and denominator are separated by a horizontal line, indicating the division between the parts and the whole.

What is the difference between a proper fraction and an improper fraction?

A proper fraction is a fraction where the numerator (top number) is less than the denominator (bottom number), such as 1/2 or 3/4, meaning the value is less than 1. An improper fraction, on the other hand, is a fraction where the numerator is equal to or greater than the denominator, such as 5/3 or 7/5, resulting in a value that may be equal to or greater than 1.

How do you compare fractions?

To compare fractions, you can convert them to like fractions by finding a common denominator. Once the fractions have the same denominator, you can compare the numerators to determine which fraction is greater or smaller. If the numerators are equal, then you compare the denominators to determine the greater fraction. Alternatively, you can convert the fractions to decimals or percentages, which can make it easier to compare them.

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

To add or subtract fractions with the same denominator, simply add or subtract the numerators and keep the denominator the same. For example, to add 1/4 + 2/4, you add the numerators (1+2 = 3) and keep the denominator the same (4), resulting in 3/4. Likewise, to subtract 5/6 - 2/6, you subtract the numerators (5-2 = 3) and keep the denominator the same (6), giving you 3/6, which simplifies to 1/2 as the final answer.

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 first. To do this, you can find the least common multiple (LCM) of the denominators. Once you have a common denominator, you can then adjust the fractions by multiplying both the numerator and denominator of each fraction by the same factor so that they have the same denominator. After this adjustment, you can simply add or subtract the numerators and keep the common denominator to get the final result.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators together to get the new numerator, and then multiply the denominators together to get the new denominator. Once you have multiplied the fractions, you may need to simplify the result by reducing it to its simplest form.

How do you divide fractions?

To divide fractions, you need to first invert the second fraction (denominator becomes the numerator and vice versa), then multiply the fractions together. This can be followed by simplifying the resulting fraction if possible.

What is an integer?

An integer is a whole number that can be positive, negative, or zero, and does not have any fractional or decimal parts.

How do you add or subtract integers?

To add integers, simply add the numbers together. If the numbers have the same sign, add their absolute values together and keep the sign. If the numbers have different signs, subtract the absolute value of the smaller number from the larger number and use the sign of the number with the larger absolute value. To subtract integers, add the opposite of the second number to the first number, which is equivalent to adding the first number to the negative of the second number. Remember to pay attention to the signs of the numbers and perform the operations accordingly.