### All ISEE Middle Level Quantitative Resources

## Example Questions

### Example Question #1 : How To Subtract Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(a) is greater

It is impossible to tell from the information given

(b) is greater

(a) and (b) are equal

**Correct answer:**

(b) is greater

"Borrow" 1 from the 8 and subtract vertically:

:

### Example Question #1 : How To Subtract Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(a) and (b) are equal

(b) is greater

It is impossible to tell from the information given

(a) is greater

**Correct answer:**

(b) is greater

"Borrow" 1 from the 6 and subtract vertically:

### Example Question #1 : How To Subtract Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(b) is greater

It is impossible to tell from the information given

(a) is greater

(a) and (b) are equal

**Correct answer:**

(a) is greater

(a)

(b)

, so .

### Example Question #1 : How To Subtract Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(a) is greater

It is impossible to tell from the information given

(a) and (b) are equal

(b) is greater

**Correct answer:**

(a) is greater

Subtract both sides of the two equations:

Since , then

### Example Question #1 : How To Subtract Fractions

**Possible Answers:**

**Correct answer:**

When subtracting fractions with different denominators, first change the fractions so that they have the same denominator. Do this by finding the least common multiple of both 4 and 8. Some multiples of 4 and 8 are:

4: 4, 8, 12, 16...

8: 8, 16, 24, 32...

Since 8 is the first common multiple between 4 and 8, change the fractions accordingly so that their denominators equal 8. Since already has a denominator of 8, it does not need to change. Change , however, accordingly.

The problem now looks like this:

Subtract the numerators. The result is your answer.

### Example Question #6 : How To Subtract Fractions

**Possible Answers:**

None of these

**Correct answer:**

When dealing with fractions and mixed numbers, first convert the mixed numbers to improper fractions.

The next thing you must do is change the denominators so that they are equal. Do this by finding the least common multiple of 2 and 5. Some multiples of 2 and 5 are:

2: 2, 4, 6, 8, 10...

5: 5, 10, 15, 20...

10 is the first common multiple of both 2 and 5, so change the fractions accordingly so that their denominators both equal 10.

The problem now looks like this:

Subtract the numerators of the fraction. The result is your answer.

### Example Question #1 : How To Subtract Fractions

This year, Samantha grew of an inch, and her brother, David, grew of an inch. How much more did David grow than Samantha?

**Possible Answers:**

**Correct answer:**

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

### Example Question #8 : How To Subtract Fractions

This year, Cassie grew of an inch, and her brother, Charlie, grew of an inch. How much more did Charlie grow than Cassie?

**Possible Answers:**

**Correct answer:**

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

### Example Question #9 : How To Subtract Fractions

This year, Emily grew of an inch, and her brother, Dan, grew of an inch. How much more did Dan grow than Emily?

**Possible Answers:**

**Correct answer:**

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

### Example Question #10 : How To Subtract Fractions

This year, Sally grew of an inch, and her brother, Drew, grew of an inch. How much more did Drew grow than Sally?

**Possible Answers:**

**Correct answer:**

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.