# Basic Arithmetic : Subtraction with Fractions

## Example Questions

### Example Question #221 : Basic Arithmetic

Explanation:

To subtract fractions, they need to share the same denominator. To find the same denominator, you will need to find the least common multiple of the two given denominators.

The least common denominator of 5 and 7 is 35. Remember, the number you multiply the denominator by to get the least common denominator you must also multiply by the numerator.

So the original equation becomes,

Now, subtract the numerators.

### Example Question #1 : Subtraction With Fractions

Subtract.

Explanation:

To subtract two fractions, they need to both share the same denominator. Since 81 is a multiple of 9, we only need to change the 1st fraction.

Now subtract the two fractions.

### Example Question #1 : Subtraction With Fractions

Explanation:

1. Find the least common denominator:

The lowest number that both 4 and 5 both go into is 20, making 20 the least common denominator.

2. Find the equivalent fractions using the least common denominator:

3. Subtract:

### Example Question #2 : Subtraction With Fractions

Amanda has  pounds of cake leftover from her birthday. If she eats a third of a pound of cake, how much will she have left over?

pounds of cake.

pounds of cake.

pounds of cake.

pounds of cake.

pounds of cake.

pounds of cake.

Explanation:

To tackle this question, first convert 2 and 3/4ths into a fraction.

Then, you can subtract  from :

.

### Example Question #41 : Operations With Fractions

If you have three pies, and someone eats one quarter of each pie, how much pie do you have left? The answers will be expressed as mixed numbers.

Explanation:

To find the answer for this problem, first figure out how much of each pie is left:

Then, because , you know that you have  whole pies left, and a quarter besides.

### Example Question #1 : Subtraction With Fractions

Explanation:

To subtract fractions, they must have the same number in the denominator. Begin by simplifying  so that its denominator is .

To simplify, divide the numerator and denominator by 6.

Then, subtract:

### Example Question #1 : Subtraction With Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 2 over 2 and the second fraction by 3 over 3.

Subtract these fractions to get the final answer.

### Example Question #41 : Operations With Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 5 over 5.

Subtract the numerators of the fractions to get the final answer.

### Example Question #48 : Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 4 over 4 and the second fraction by 7 over 7.

Subtract the numerators of these fractions to get the final answer.

### Example Question #49 : Fractions

Subtract these fractions: