A mixed number is a combination of a whole number and a proper fraction. It is written in the form:

Whole Number + Fraction

For example, 3 1/2 is a mixed number. The '3' is the whole number and '1/2' is the fraction.

To convert an improper fraction to a mixed number, follow these steps:

- Divide the numerator by the denominator. The quotient is the whole number part of the mixed number.
- The remainder becomes the numerator of the fractional part.
- The original denominator remains the denominator of the fractional part.

For example, to convert the improper fraction 7/2 to a mixed number:

7 ÷ 2 = 3 with a remainder of 1

So, 7/2 = 3 1/2

To convert a mixed number to an improper fraction, follow these steps:

- Multiply the whole number by the denominator of the fraction part.
- Add the result to the numerator of the fraction part.
- The denominator of the improper fraction remains the same as the denominator of the fractional part of the mixed number.

For example, to convert the mixed number 4 3/5 to an improper fraction:

4 × 5 + 3 = 20 + 3 = 23

So, 4 3/5 = 23/5

- Convert the improper fraction 11/4 to a mixed number.
- Convert the mixed number 6 2/3 to an improper fraction.

By practicing these steps, you can become proficient in working with mixed numbers and converting between mixed numbers and improper fractions.

.Study GuideRational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations Worksheet/Answer key

Rational numbers and operations

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.