# Fractions of an Amount - All Types

## Fractions of an Amount - How it Works - Video with Diagram

### Example 1a

Example 1a:

For this example, the fraction, 2/3, tells us so much. The 2 (numerator) tells us how many equal sections we need and the 3 (denominator) tells us how many total sections we need. The amount in questioned is 24, so we draw 24 circles to represent that. So we have 3 total sections with 8 circles in each section. We need 2 equal sections and in this case, there are 16 circles. So the answer is 16.

### Example 1b

Example 1b:

For this example, the fraction, 2/3, tells us so much. The 2 (numerator) tells us how many equal sections we need and the 3 (denominator) tells us how many total sections we need. Now we going to use multiplication and division to solve the problem. We use the amount, 24, and divide by the denominator, 3, then multiply by the numerator, 2. So we have 24 divided by 3 which is 8, then we multiply 8 by 2 to get 16.

### Example 2a

Example 2a:

For this example, the fraction, 3/4, tells us so much. The 3 (numerator) tells us how many equal sections we need and the 4 (denominator) tells us how many total sections we need. The amount in questioned is 20, so we draw 20 circles to represent that. So we have 3 total sections with 5 circles in each section. We need 3 equal sections and in this case, there are 15 circles. So the answer is 15.

### Example 2b

Example 2b:

For this example, the fraction, 3/4, tells us so much. The 3 (numerator) tells us how many equal sections we need and the 4 (denominator) tells us how many total sections we need. Now we going to use multiplication and division to solve the problem. We use the amount, 20, and divide by the denominator, 4, then multiply by the numerator, 3. So we have 20 divided by 4 which is 5, then we multiply 5 by 3 to get 15.

### Example 3a

Example 2a:

For this example, the fraction, 3/5, tells us so much. The 3 (numerator) tells us how many equal sections we need and the 5 (denominator) tells us how many total sections we need. The amount in questioned is 30, so we draw 30 circles to represent that. So we have 3 total sections with 6 circles in each section. We need 3 equal sections and in this case, there are 18 circles. So the answer is 18.

### Example 3b

Example 3b:

For this example, the fraction, 3/5, tells us so much. The 3 (numerator) tells us how many equal sections we need and the 5 (denominator) tells us how many total sections we need. Now we going to use multiplication and division to solve the problem. We use the amount, 30, and divide by the denominator, 5, then multiply by the numerator, 3. So we have 30 divided by 5 which is 6, then we multiply 6 by 3 to get 18.

## Fractions of an Amount - How it Works - Video with Multiplication/Division

### Example 1

Example 1:

For this example, the fraction, 3/4, tells us so much. The 3 (numerator) tells us how many equal sections we need and the 4 (denominator) tells us how many total sections we need. We have to split the 8 into 4 equal sections since the denominator in 3/4 is 4. Now, we divided the amount or 8 by the denominator, 4, and that give us 2, because 8 divided by 4 is 2. Since we need 3 equal sections to determine 3/4 of 8, we multiply that 2 by the numerator or 3 in this case. 2 times 3 is 6, so 3/4 of 8 is 6.

### Example 2

Example 2:

For this example, the fraction, 2/3, tells us so much. The 2 (numerator) tells us how many equal sections we need and the 3 (denominator) tells us how many total sections we need. We have to split the 24 into 3 equal sections since the denominator in 2/3 is 3. Now, we divided the amount or24 by the denominator, 3, and that give us 8, because 24 divided by 3 is 8. Since we need 2 equal sections to determine 2/3 of24, we multiply that 8 by the numerator or 2 in this case. 8 times 2 is 16, so 2/3 of 24 is 16.

### Example 3

Example 3:

For this example, the fraction, 2/5, tells us so much. The 2 (numerator) tells us how many equal sections we need and the 5 (denominator) tells us how many total sections we need. We have to split the 35 into 5 equal sections since the denominator in 2/5 is 5. Now, we divided the amount or 35 by the denominator, 5, and that give us 7, because 35 divided by 5 is 7. Since we need 2 equal sections to determine 2/5 of 35, we multiply that 7 by the numerator or 2 in this case. 7 times 2 is 14, so 2/5 of 35 is 14.

## Live Worksheet

Here is the link if you prefer.