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Multiplying Fractions

There are 3 simple steps to multiply fractions:

1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction

Example 1

1

 

2

---

 × 

---

2

 

5

Step 1. Multiply the top numbers

1

 

2

 

1 × 2

 

2

---

 × 

---

 = 

------

 = 

---

2

 

5

 

 

 

 

Step 2. Multiply the bottom numbers.

1

 

2

 

1 × 2

 

2

---

 × 

---

 = 

-----

 = 

---

2

 

5

 

2 × 5

 

10

Step 3. Simplify the fraction

2

 

1

---

 = 

---

10

 

5

 

Example 2

1

 

9

---

 × 

---

3

 

16

Step 1. Multiply the top numbers

1

 

9

 

1 × 9

 

9

---

 × 

---

 = 

-----

 = 

---

3

 

16

 

 

 

 

Step 2. Multiply the bottom numbers.

1

 

9

 

1 × 9

 

9

---

 × 

---

 = 

------

 = 

---

3

 

 16

 

3 × 16

 

48


Step 3. Simplify the fraction

9

 

3

---

 = 

---

48

 

16

 


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