Mixed Numbers

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.

Converting Improper Fractions to Mixed Numbers

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

1. Divide the numerator by the denominator. The quotient is the whole number part of the mixed number.
2. The remainder becomes the numerator of the fractional part.
3. 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

Converting Mixed Numbers to Improper Fractions

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

1. Multiply the whole number by the denominator of the fraction part.
2. Add the result to the numerator of the fraction part.
3. 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

Practice Problems

1. Convert the improper fraction 11/4 to a mixed number.
2. 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.