Operations with Fractions

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Basic Math › Operations with Fractions

Questions 1 - 10
1

Multiply:

Explanation

Multiply the numerators together, then multiply the denominators together.

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

2

Multiply:

Explanation

Multiply the numerators together, then multiply the denominators together.

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

3

Solve and simplify.

Explanation

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

(Note: by dividing both our numerator and our denominator by , gives us our final answer of .

4

Solve and simplify.

Explanation

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

(Note: by dividing both our numerator and our denominator by , gives us our final answer of .

5

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.

6

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.

7

Solve the following expression:

Explanation

The correct answer is .

In order to start solving this problem, we need to get each term to have a common denominator.

The common denominator between 2 and 6 is 6. We can rewrite the expression and solve using the following method:

8

Solve the following expression:

Explanation

The correct answer is .

In order to start solving this problem, we need to get each term to have a common denominator.

The common denominator between 2 and 6 is 6. We can rewrite the expression and solve using the following method:

9

Solve the following:

Explanation

The correct answer is and can be found by using reciprocals as shown below:

The first step is to identify that 4 can be written as 4 divided by 1. You can then take the first fraction and multiple it by the reciprocal of the second fraction, which can be found by switching the numerator and denominator. From there, you solve and simplify until you get to the final answer.

10

Solve the following:

Explanation

The correct answer is and can be found by using reciprocals as shown below:

The first step is to identify that 4 can be written as 4 divided by 1. You can then take the first fraction and multiple it by the reciprocal of the second fraction, which can be found by switching the numerator and denominator. From there, you solve and simplify until you get to the final answer.

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