7th Grade Math Worksheets Printable Fractions

Finding suitable worksheets for 7th-grade math students can be a challenging task. However, if you are in search of printable worksheets specifically targeting fractions, your search ends right here. Our collection of 7th-grade math worksheets provides a comprehensive range of exercises that focus on fractions, allowing your students to strengthen their understanding of this fundamental mathematical concept.

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  Equivalent Fractions Worksheet 5th Grade

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What is a fraction?

A fraction is a mathematical expression that represents a part of a whole. It consists of two numbers separated by a horizontal or slanted line, where the number on top is called the numerator and the number at the bottom is called the denominator. The numerator represents how many parts are being considered, while the denominator indicates how many equal parts the whole is divided into.

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're adding 1/4 + 2/4, you would add 1 + 2 to get 3, and keep the denominator of 4 the same, resulting in 3/4.

How do you subtract fractions with like denominators?

To subtract fractions with like denominators, you simply subtract the numerators while keeping the denominator the same. For example, if you are subtracting 2/5 from 4/5, you would subtract 2 from 4 to get 2, and the denominator remains as 5. Therefore, the result of subtracting 2/5 from 4/5 is 2/5.

How do you multiply fractions?

To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Simplify the resulting fraction, if needed, by reducing it to its lowest terms.

How do you divide fractions?

To divide fractions, you simply multiply the first fraction by the reciprocal of the second fraction. This means you flip the second fraction (numerator becomes denominator and vice versa) and then multiply the fractions together. The result is the quotient of the two fractions. Remember to simplify the fraction if possible by reducing it to its simplest form.

What is a mixed number?

A mixed number is a combination of a whole number and a fraction. It is written as a whole number followed by a fraction, for example, 2 1/2. This allows for more precise representations of values between whole numbers.

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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator to the result. This sum becomes the new numerator of the improper fraction, while the original denominator stays the same. So, for example, if you have the mixed number 2 1/4, you would multiply 2 by 4 to get 8, then add 1 to get 9. Therefore, 2 1/4 can be converted to the improper fraction 9/4.

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

To convert an improper fraction to a mixed number, you divide the numerator by the denominator. The whole number part of the result becomes the whole number of the mixed number, the remainder becomes the new numerator, and the denominator remains the same. This way, you can represent the fraction as a combination of a whole number and a proper fraction.

How do you simplify a fraction?

To simplify a fraction, you need to find the greatest common factor (GCF) of the numerator and the denominator, and then divide both the numerator and the denominator by this GCF. This process reduces the fraction to its simplest form where the numerator and denominator have no common factors other than 1.

How do you compare fractions?

To compare fractions, you can either find a common denominator and compare the numerators, or you can convert the fractions to decimals and compare the decimal values. If the fraction has the same denominator, you can directly compare the numerators to determine which fraction is larger. If not, finding a common denominator allows you to make a direct comparison. Another approach is to convert the fractions to decimals by performing division and then compare the resulting decimal values to determine which fraction is greater.