4-6 Mixed Numbers and Improper Fractions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up Worksheet p 29 #’s 4-7 Course Mixed Numbers and Improper Fractions 2 9 __ __ __, 5 8 __ __, 2 3 __ __, 2 9 __ ,

Problem of the Day Two numbers have a product of 48. When the larger number is divided by the smaller, the quotient is 3. What are the numbers? 4 and 12 Course Mixed Numbers and Improper Fractions

Learn to convert between mixed numbers and improper fractions. Course Mixed Numbers and Improper Fractions

Course Mixed Numbers and Improper Fractions Vocabulary improper fraction proper fraction

Course Mixed Numbers and Improper Fractions An improper fraction is a fraction in which the numerator is greater than or equal to the denominator such as __ is read as “eleven-fourths.” Reading Math 11 4 ___

Course Mixed Numbers and Improper Fractions Whole numbers can be written as improper fractions. For example, 7 = 7/1. When the numerator is less than the denominator, the fraction is called a proper fraction. 7 1 __

Course Mixed Numbers and Improper Fractions You can write an improper fraction as a mixed number.

Course Mixed Numbers and Improper Fractions Additional Example 1: Application Ella hiked for hours yesterday. Write as a mixed number. 9 4 __ 9 4 Method 1: Use a model. Draw squares divided into fourth sections. Shade 9 of the fourth sections __ There are 2 whole squares and 1 fourth square, or 2 squares, shaded __

Course Mixed Numbers and Improper Fractions Additional Example 1 Continued Method 2: Use division. 1 4 __ Divide the numerator by the denominator. To form the fraction part of the quotient, use the remainder as the numerator and the divisor as the denominator Ella hiked for 2 hours. 1 4 __

Course Mixed Numbers and Improper Fractions Check It Out: Example 1 Arnold biked for hours yesterday. Write as a mixed number. 7 4 __ 7 4 Method 1: Use a model. Draw squares divided into fourth sections. Shade 7 of the fourth sections __ There is 1 whole square and 3 fourth squares, or 1 squares, shaded __

Course Mixed Numbers and Improper Fractions Check It Out: Example 1 Continued Method 2: Use division. 3 4 __ Divide the numerator by the denominator. To form the fraction part of the quotient, use the remainder as the numerator and the divisor as the denominator Arnold biked for 1 hours. 3 4 __

Course Mixed Numbers and Improper Fractions Additional Example 2: Writing Mixed Numbers as Improper Fractions Write 3 as an improper fraction. 2 3 __ Method 1: Use a model. You can draw a diagram to illustrate the whole and fractional parts. There are 11 thirds or __ Count the thirds in the diagram.

Course Mixed Numbers and Improper Fractions Additional Example 2 Continued Method 2: Use multiplication and addition. When you are changing a mixed number to an improper fraction, spiral clockwise as shown in the picture. The order of operations will help you remember to multiply before you add. 2 3 __ 3 = (3 3) + 2 __________ 3 Multiply the whole number by the denominator and add the numerator. Keep the same denominator. = _____ 3 = 11 3 __ Multiply. Then add

Course Mixed Numbers and Improper Fractions Check It Out: Example 2 Write 4 as an improper fraction. 1 3 __ Method 1: Use a model. You can draw a diagram to illustrate the whole and fractional parts. There are 13 thirds, or __ Count the thirds in the diagram.

Course Mixed Numbers and Improper Fractions Check It Out: Example 2 Continued Method 2: Use multiplication and addition. When you are changing a mixed number to an improper fraction, spiral clockwise as shown in the picture. The order of operations will help you remember to multiply before you add. 1 3 __ 4 = (3 4) + 1 __________ 3 Multiply the whole number by the denominator and add the numerator. Keep the same denominator. = ______ 3 = 13 3 __ Multiply. Then add.

Lesson Quiz Write each mixed number as an improper fraction. 1. Janet watches hours of television per day. Write as a mixed number Insert Lesson Title Here Course Mixed Numbers and Improper Fractions 3 5 __ __ 18 5 __ 21 2 __ 33 8 __ 3 4 1