Page 163 - NUMINO TG_5A
P. 163
Activity 1 Mixed Numbers and Whole Numbers
jOb ective Simplify and rewrite mixed numbers.
1. Textbook Instructions Activity 1 Mixed Numbers and Whole Numbers
Have students use the model to solve a multiplication problem with mixed numbers and whole numbers.
Learn how to multiply mixed numbers and whole numbers.
Another method of multiplying whole and
mixed numbers involves renaming the mixed Multiply 2 3 3
4
number as an improper fraction rather than
separating it into a whole number and a Rewrite the mixed 2 3 =2 3 = 8 3 _141 3
number as an 4 4 4 4 2
fraction. improper fraction. 1
3 11
Example: 2 4 3 = 4 0123
Step 1: Write 2 3 as an improper fraction. Multiply the fraction by 2 3 3= 11 3
4 a whole number. 4 4
The 2 becomes 8 and then add 3 . Rewrite the fraction. = 33 =8 1
4 4 4 4
2 3 11 . 1 Have students solve the problems below by renaming
4 4
. Multiply using the method above. mixed numbers as improper fractions, multiplying, and
then simplifying.
Step 2: Multiply the improper fraction by the a. 1 3 b. 2 12
2 2 5
whole number. 1 3= 3 2 3= 5 3
11 3 OR 11 3 33 9 36
4 4 1 4
=2 =5
Step 3: Simplify the resulting improper 1 1
fraction. =4 2 =7 5
33 8 1 c. 1 3 d. 1 9
4 4 2 2 4 4
1 5= 5 2 3= 3
1. Have students solve the rest of the 15 27
problems below by rewriting mixed numbers
as improper fractions, multiplying, and then =2 =4
simplifying.
=7 1 =6 3
2 4
90
2. Build Understanding
For students who are having difficulty with improper fractions, offer the following tips.
1. Use the existing fraction in the mixed number to determine the fraction for the whole number.
For example: if the mixed number is 5 3 , and each “1” is 8 , then 5 contains 40 , and therefore the
8 8 8
43
improper fraction is 8 .
2. When multiplying the fraction by the whole number, put 1 as the denominator beneath the whole number.
(3 3 )
1
3. When simplifying the product, divide the numerator by the denominator. Any remainder is the numerator
of the resulting fraction, with the denominator being the same.
146 NUMINO Teacher s Guide
jOb ective Simplify and rewrite mixed numbers.
1. Textbook Instructions Activity 1 Mixed Numbers and Whole Numbers
Have students use the model to solve a multiplication problem with mixed numbers and whole numbers.
Learn how to multiply mixed numbers and whole numbers.
Another method of multiplying whole and
mixed numbers involves renaming the mixed Multiply 2 3 3
4
number as an improper fraction rather than
separating it into a whole number and a Rewrite the mixed 2 3 =2 3 = 8 3 _141 3
number as an 4 4 4 4 2
fraction. improper fraction. 1
3 11
Example: 2 4 3 = 4 0123
Step 1: Write 2 3 as an improper fraction. Multiply the fraction by 2 3 3= 11 3
4 a whole number. 4 4
The 2 becomes 8 and then add 3 . Rewrite the fraction. = 33 =8 1
4 4 4 4
2 3 11 . 1 Have students solve the problems below by renaming
4 4
. Multiply using the method above. mixed numbers as improper fractions, multiplying, and
then simplifying.
Step 2: Multiply the improper fraction by the a. 1 3 b. 2 12
2 2 5
whole number. 1 3= 3 2 3= 5 3
11 3 OR 11 3 33 9 36
4 4 1 4
=2 =5
Step 3: Simplify the resulting improper 1 1
fraction. =4 2 =7 5
33 8 1 c. 1 3 d. 1 9
4 4 2 2 4 4
1 5= 5 2 3= 3
1. Have students solve the rest of the 15 27
problems below by rewriting mixed numbers
as improper fractions, multiplying, and then =2 =4
simplifying.
=7 1 =6 3
2 4
90
2. Build Understanding
For students who are having difficulty with improper fractions, offer the following tips.
1. Use the existing fraction in the mixed number to determine the fraction for the whole number.
For example: if the mixed number is 5 3 , and each “1” is 8 , then 5 contains 40 , and therefore the
8 8 8
43
improper fraction is 8 .
2. When multiplying the fraction by the whole number, put 1 as the denominator beneath the whole number.
(3 3 )
1
3. When simplifying the product, divide the numerator by the denominator. Any remainder is the numerator
of the resulting fraction, with the denominator being the same.
146 NUMINO Teacher s Guide
