Dividing is the process of splitting a number into equal parts. When you divide one number by another, you are finding out how many times the second number can fit into the first number.

To divide whole numbers, you can use long division or short division. In long division, you divide the dividend (the number being divided) by the divisor (the number you are dividing by) and then write the quotient (the answer) above the division bar. In short division, you use the division symbol and write the dividend inside the curve and the divisor outside the curve.

When dividing decimals, you should align the decimal points and then perform the division as if the decimals were whole numbers. After dividing, you may need to add trailing zeros to the quotient to make it a decimal again.

To divide fractions, you can use the following steps: 1. Keep the first fraction the same. 2. Change the division sign to a multiplication sign. 3. Flip the second fraction (take the reciprocal). 4. Multiply the two fractions together.For example, to divide 2/3 by 1/4, you would keep 2/3 the same, change the division sign to a multiplication sign, flip 1/4 to get 4/1, and then multiply to get 2/3 * 4/1 = 8/3.

- Understand the concept of division and how it relates to splitting a number into equal parts.
- Practice dividing whole numbers using long division and short division methods.
- Learn how to divide decimals by aligning the decimal points and performing the division as if the decimals were whole numbers.
- Practice dividing fractions by keeping the first fraction the same, changing the division sign to a multiplication sign, flipping the second fraction, and then multiplying the two fractions together.

Study GuideMultiply/Divide Fractions Worksheet/Answer key

Multiply/Divide Fractions Worksheet/Answer key

Multiply/Divide Fractions Worksheet/Answer key

Multiply/Divide Fractions Worksheet/Answer keyMultiplying and Dividing Fractions Worksheet/Answer key

Dividing Mixed Numbers Worksheet/Answer keyMultiplying Mixed Numbers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 6 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals

Students use the meanings of fractions, multiplication and division, and the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions and explain why they work. They use the relationship between decimals and fractions, as well as the relationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to understand and explain the procedures for multiplying and dividing decimals. Students use common procedures to multiply and divide fractions and decimals efficiently and accurately. They multiply and divide fractions and decimals to solve problems, including multi-step problems and problems involving measurement.

Connections to the Grade 6 Focal Points (NCTM)

Number and Operations: Students' work in dividing fractions shows them that they can express the result of dividing two whole numbers as a fraction (viewed as parts of a whole). Students then extend their work in grade 5 with division of whole numbers to give mixed number and decimal solutions to division problems with whole numbers. They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. Students distinguish multiplicative comparisons from additive comparisons.