Fractions and Decimals Worksheets Grade 6

For Grade 6 students who are learning about fractions and decimals, finding the right worksheets to practice and reinforce their skills can be vital for their understanding of these concepts. Worksheets that focus on these topics can provide students with comprehensive practice on converting between fractions and decimals, adding and subtracting fractions, multiplying and dividing fractions, and many other essential skills.

  Decimal Addition Worksheets

---

  Equivalent Fractions Worksheets 6th Grade Math

---

  Ordering Fractions and Decimals Worksheets

---

  Fractions Worksheets Grade 6

---

  Decimal Place Value Worksheets 5th Grade

---

  7th Grade Math Problems Worksheets

---

  Equivalent Fractions Worksheets 6th Grade

---

  Common Core Multiplying Fractions Worksheets

---

  5th Grade Math Worksheets Graphs

---

  Decimal Place Value Chart

---

  Multiplication Division Worksheets

---

What is a fraction?

A fraction is a way to represent a part of a whole, expressed as two numbers separated by a line (numerator over denominator), where the numerator represents the part being considered, and the denominator represents the whole being divided into parts.

How do you convert a fraction to a decimal?

To convert a fraction to a decimal, you divide the numerator (the top number of the fraction) by the denominator (the bottom number of the fraction). The result of this division will give you the decimal equivalent of the fraction. Remember to simplify the fraction before converting to make the division easier.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, you can follow these steps: First, write down the decimal as a fraction with the decimal as the numerator and 1 as the denominator. Then, multiply the fraction by a power of 10 to make the decimal a whole number. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor.

What is a mixed number?

A mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction, such as 2 1/2. This type of number represents a whole quantity and a part of another whole, combining both in a single expression.

How do you add fractions with the same denominator?

To add fractions with the same denominator, simply add the numerators of the fractions and keep the denominator the same. For example, if you have 1/4 + 2/4, you would add 1 + 2 to get 3, and then keep the denominator 4 the same to get 3/4 as the result.

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, simply subtract the numerators and keep the same denominator. For example, if you have 3/5 - 2/5, you would subtract 2 from 3 to get 1, and keep the denominator 5 the same, thus resulting in 1/5. This is because the denominator represents the total number of parts in a whole and remains constant when subtracting fractions with the same denominator.

How do you multiply fractions?

To multiply fractions, you simply multiply the numerators (top numbers) together to get the new numerator and multiply the denominators (bottom numbers) together to get the new denominator. This will give you the product of the two fractions. Remember to simplify the resulting fraction by reducing it to its simplest form if possible.

How do you divide fractions?

To divide fractions, you can simply multiply the first fraction by the reciprocal of the second fraction. This means flipping the second fraction upside down (changing the numerator and denominator) and then multiplying the two fractions together. This method allows you to divide fractions while also simplifying the answer if possible.

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

To compare fractions using the symbols <, >, and =, you need to first find a common denominator for the fractions. Once you have a common denominator, you can compare the numerators of the fractions. If the numerators are equal, then the fractions are equal. If one numerator is greater than the other, then the fraction with the greater numerator is larger. If the numerators are equal, but the denominator of one fraction is smaller than the other, then the fraction with the smaller denominator is larger. By applying these principles, you can accurately compare fractions using the symbols <, >, and =.

How do you order fractions from least to greatest?

To order fractions from least to greatest, first compare the denominators. If they are the same, compare the numerators. If the denominators are different, find a common denominator by finding the least common multiple of the denominators. Then convert all fractions to have the same denominator and compare the numerators. The fraction with the smallest numerator is the least, while the one with the largest numerator is the greatest. Remember to simplify the fractions if necessary after ordering them.