Other Fraction Manipulations

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Basic Math › Other Fraction Manipulations

Questions 1 - 8
1

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:

2

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 .

3

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 .

4

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 .

5

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:

6

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 .

7

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 .

8

What is the decimal equivalent to ?

Explanation

The correct answer is

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

You should memorize common fractions:

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