# Basic Arithmetic : Other Fraction Manipulations

## Example Questions

### Example Question #10 : Manipulation Of Fractions

What is the result of the above equation?

Explanation:

So we first multiply the numerators:

We then multiply the denominators

Our resulting fraction is:

We reduce by dividing by 2 from the numerator and denominator.

For the numerator:

For the denominator:

The resulting fraction is:

### Example Question #1 : Other Fraction Manipulations

What is the result of the above equation?

Explanation:

We first multiply the numerators:

Then we multiply the denominators:

The resulting fraction is:

We divide the numerator and denominator by 12.

The numerator is:

The denominator results in:

Our resulting fraction is:

### Example Question #2 : Other Fraction Manipulations

What is the result of the below equation?

Explanation:

First, multiply the numerators of each term:

Then, multiply the denominators:

This results in a fraction of . Since the numerator and denominator both have a common factor of 4, reduce both the numerator and denominator by dividing by 4 to get the simplest form fraction .

### Example Question #3 : Other Fraction Manipulations

What is the result of the below equation?

Explanation:

First, multiply the terms in the numerators:

Then multiply the terms in the denominators:

This results in the fraction  .

Notice that both the numerator and denominator have a common factor of 6. Dividing both the numerator and denominator by 6 results in the simplest form fraction .

### Example Question #4 : Other Fraction Manipulations

What is the result of the below equation?

Explanation:

First, multiply the numerators of the terms:

Then, multiply the denominators of the terms:

The resulting fraction is . Note that the numerator and denominator both have a common factor of 6. Dividing both parts of the fraction by 6, we get the simplest form fraction .

### Example Question #15 : Manipulation Of Fractions

Express the following fraction as a decimal:

Explanation:

To easily express a fraction as a decimal, we need to convert the denominator into a power of . We can do this by dividing both the top and the bottom of the given fraction by  to express it in tenths.

, or six tenths, can be expressed as .

### Example Question #16 : Manipulation Of Fractions

What is the decimal equivalent to ?

Explanation:

is greater than half so you can eliminate  and  right away.

You should memorize common fractions:

### Example Question #4 : Other Fraction Manipulations

Which fraction is less than ?

Explanation:

The best way to answer this question is to find the smallest fraction among the answer choices.

Comparing fractions can be done easily when they are converted to decimals.

Of these options, only , or 0.60, is less than .