# Basic Arithmetic : Other Fraction Manipulations

## Example Questions

### Example Question #1 : 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 #11 : Manipulation Of Fractions

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 #1 : 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 #12 : Manipulation Of Fractions

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 #1 : Other Fraction Manipulations

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 #21 : How To Find The Decimal Equivalent Of A Fraction

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 #7 : Other Fraction Manipulations

Which fraction is less than ?