Pre-Algebra Fraction Worksheets

If you're a pre-algebra student looking for extra practice with fractions, you've come to the right place. We understand that learning and mastering fractions can be challenging, which is why we have designed a series of worksheets specifically tailored to help you grasp this fundamental concept. With our pre-algebra fraction worksheets, you'll be able to enhance your understanding of fractions and improve your problem-solving skills.

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What is a fraction?

A fraction is a numerical quantity that represents part of a whole or a ratio of two numbers. It is written as one number (numerator) over another number (denominator), separated by a horizontal line. Fractions are used to express quantities that are not whole numbers, and they can represent values between integers.

How do you find the equivalent fraction of a given fraction?

To find the equivalent fraction of a given fraction, you can multiply or divide both the numerator and the denominator by the same number. This will result in a fraction that represents the same value as the original fraction, but with different numbers. Keep in mind that any non-zero number can be used to find an equivalent fraction.

What is the least common denominator?

The least common denominator is the smallest multiple that two or more denominators have in common, which is used to combine fractions with different denominators by making them equivalent.

How do you add fractions with like denominators?

To add fractions with like denominators, simply add the numerators together while keeping the denominator the same. For example, if you are adding 1/4 + 2/4, you would add the numerators (1+2=3) and keep the denominator the same (4), resulting in 3/4 as the sum.

How do you subtract fractions with like denominators?

To subtract fractions with like denominators, simply subtract the numerators while keeping the denominator the same. For example, if you are subtracting 1/4 from 3/4, you would subtract 1 from 3 to get 2, and the denominator remains 4. So, the answer would be 2/4, which can be simplified to 1/2 by dividing both numerator and denominator by their greatest common factor, which is 2 in this case.

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. This will give you the product of the two fractions. Remember to simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor.

How do you divide fractions?

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. Simply put, to divide fraction a by fraction b, you multiply a by the reciprocal of b, which is flipping b upside down to become 1/b. This method ensures that when you multiply the two fractions together, you will get the correct answer.

How do you simplify fractions?

To simplify a fraction, you need to divide both the numerator and the denominator by their greatest common factor (GCF). Find the largest number that can evenly divide both the numerator and denominator, and then divide them by that number. Repeat this process until the fraction can no longer be simplified any further.

How do you convert improper fractions to mixed numbers?

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The whole number part of the result will be the whole number of the mixed number. The remainder of the division will be the new numerator, and the original denominator will be the denominator of the mixed number. This way, you turn the improper fraction into a whole number combined with a proper fraction.

How do you convert mixed numbers to improper fractions?

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fractional part and then add the numerator of the fractional part to get the new numerator. For example, to convert 2 1/4 to an improper fraction, you would multiply 2 by 4 (denominator) to get 8, then add 1 (numerator) to get 9. So, 2 1/4 is equivalent to 9/4 as an improper fraction.