To multiply mixed numbers: 1. Convert the mixed numbers to fractions by multiplying the whole numbers by the denominators and adding the numerators. 2. Multiply the resulting fractions. 3. Simplify the final fraction by reducing if possible. For example, to multiply 3 1/2 × 3/4: 1. Convert to fractions by multiplying the whole numbers by the denominators and adding the numerators: 3 1/2 = 7/2 and 3/4 = 3/4. 2. Multiply the fractions: 7/2 × 3/4 = 21/8 3. Simplify: 21/8 = 2 5/8

1. lesson 7.9 pg471
Multiply mixed numbers
Grade 5
BY Mr.Ala Ayasrah

2. Remember : Multiply Fractions
Example
2
3
×
5
7
=
2 × 5
3 × 7
=
10
21

4. • How to convert mixed number to fraction (eg: 𝟐
𝟑
𝟓
)
• Step 1: Multiply the whole number by the denominator
2 × 5 = 10
Step 2 : add the numerator 3 to your answer
3 + 10 = 13
Step 3 : write your answer as a numerator with same
denominator to get
𝟏𝟑
𝟓
Convert mixed number to fraction

5. 𝟏
𝟏
𝟐
=
𝟐×𝟏+𝟏
𝟐
=
𝟑
𝟐
Example 1: write the mixed number as fraction

6. Example 2
3
𝟒
𝟓
=
𝟓×𝟑+𝟒
𝟓
=
𝟏𝟗
𝟓

7. Your tern : write each mixed number as fraction
5
𝟏
𝟒
=

8. 4
𝟐
𝟖
=
write each mixed number as fraction

9. 7
𝟑
𝟕
=

10. How to multiply mixed number by fraction and by mixed
numbers 3
1
2
×
3
4
• Step 1 : convert the mixed numbers to fraction
3
1
2
×
3
4
=
7
2
×
3
4
• Step 2: multiply the new fractions
7
2
×
3
4
=
21
8
• Step 3:simplify ( write in simplest form )
21
8
= 2
5
8

11. Example : Multiply
1
𝟐
𝟑
× 3
𝟏
𝟐
=
𝟑×𝟏+𝟐
𝟑
×
𝟐×𝟑+𝟏
𝟐
=
𝟓
𝟑
×
𝟕
𝟐
=
𝟑𝟓
𝟔
= 5
𝟓
𝟔