Pre -Algebra and Fractions Worksheets

If you're a pre-algebra student or eager to improve your knowledge of fractions, you're in the right place! These carefully curated worksheets provide a comprehensive understanding of these topics, allowing you to master the core concepts at your own pace.

  Shape Fractions Worksheets Grade 1

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  Comparing Decimals Worksheet

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  Fractions with Pattern Blocks Worksheets

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  Math Addition and Subtraction Worksheets

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  Math Worksheets

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  Equivalent Ratios Worksheets

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  Convert Decimal to Fraction Worksheet

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  Free Printable Five Senses Worksheets

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  Math Adding and Subtracting Fractions Worksheet

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  Addition Subtraction Word Problems Worksheets

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  3rd Grade Math Worksheets Printable

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  Dinosaur Reading Comprehension Worksheets Questions

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  Sight Words Chart

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  Earth Seasons Worksheet

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  Triceratops Fact File Worksheet

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  Printable Subtraction with Regrouping Worksheets

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What is a fraction?

A fraction is a numerical quantity representing part of a whole, typically written as one number above a line (the numerator) and another number below the line (the denominator), with the line indicating division. Fractions are used to represent proportions, ratios, and parts of a whole, and can be expressed as proper fractions (where the numerator is less than the denominator), improper fractions (where the numerator is equal to or greater than the denominator), or mixed numbers (a whole number combined with a fraction).

How do you simplify a fraction?

To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator, then divide both the numerator and denominator by this GCD. This will reduce the fraction to its simplest form, where the numerator and denominator have no common factors other than 1, making the fraction as small as possible while still being equal to the original fraction.

How do you find the greatest common factor of two numbers?

To find the greatest common factor of two numbers, you need to identify the common factors of both numbers and then determine the largest factor that they share. This can be done by listing the factors of each number and then finding the highest common factor. Alternatively, you can use the prime factorization method by breaking down each number into its prime factors and then identifying the common prime factors along with their lowest exponent values to calculate the greatest common factor.

How do you add fractions with the same denominator?

To add fractions with the same denominator, simply add the numerators of the fractions together and keep the denominator the same. For example, if you are adding 1/4 + 2/4, you would add the numerators (1 + 2 = 3) to get 3/4 as the sum.

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, you simply subtract the numerators while keeping the denominator the same. For example, if you have 3/5 - 1/5, you subtract 1 from 3 to get 2, and keep the denominator as 5. Therefore, the result is 2/5.

How do you find the least common multiple of two numbers?

To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. Then, for each prime factor that appears in either number, take the highest power of that prime factor. Finally, multiply all these prime factors together to get the LCM of the two numbers.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, to multiply 1/3 by 2/5, you multiply 1 by 2 to get 2 as the new numerator, and 3 by 5 to get 15 as the new denominator, resulting in the fraction 2/15.

How do you divide fractions?

To divide fractions, you simply multiply the first fraction by the reciprocal of the second fraction. In other words, you multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction. This will give you the quotient of the two fractions. Remember to simplify the resulting fraction if possible.

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 numerator. Write this sum over the original denominator to create the improper fraction. For example, if you have the mixed number 2 1/4, you would multiply 2 by 4, which equals 8, then add 1 to get 9. So, 2 1/4 as an improper fraction is 9/4.

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

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number part of the mixed number. The remainder becomes the new numerator, and the original denominator remains the same. Write the whole number as the integer part, and the remaining fraction as the proper fraction part of the mixed number.