Multiplying Fractions
Multiplying s is a three-step process. Let’s say you want to multiply 1/3 and 1/4. Here’s operations-with-fractions” title=”How do you do operations with fractions”>operations-with-fractions” title=”How do you do operations with fractions”>what you need to do:
Step 1: Multiply the numerators (the top numbers) together. So, 1 x 1 = 1.
Step 2: Multiply the denominators (the bottom numbers) together. 3 x 4 = 12.
Step 3: Write the answer as a fraction. So, 1/3 x 1/4 = 1/12.
That’s it! You’ve successfully multiplied two fractions together. One thing to keep in mind when multiplying fractions is that you should always simplify the answer if possible. In this case, the answer is already in its simplest form.
Dividing Fractions
Dividing fractions is a bit more complicated than multiplying them, but it’s still pretty simple. Let’s say you want to divide 1/3 by 1/4. Here’s what you need to do:
Step 1: Flip the second fraction over. So, 1/3 ÷ 1/4 becomes 1/3 x 4/1.
Step 2: Multiply the numerators together. 1 x 4 = 4.
Step 3: Multiply the denominators together. 3 x 1 = 3.
Step 4: Write the answer as a fraction. So, 1/3 ÷ 1/4 = 4/3.
The answer is a bit more complicated this time, but it can still be simplified. In this case, you can change the improper fraction 4/3 to a arrange-the-fractions-in-obtain–equivalent-fractions” title=”How to obtain equivalent fractions”>ascending–order” title=”How to arrange the fractions in ascending order”>mixed number by dividing 4 by 3. The quotient is 1 with a remainder of 1, so the answer is 1 1/3.
A Few Tips
When dealing with fractions, it’s important to keep a few things in mind:
– Always simplify the fraction if possible. So, for example, if the answer to a multiplication problem is 2/8, simplify it to 1/4.
– Always convert mixed numbers to improper fractions before working with them. To convert a mixed number to an improper fraction, multiply the denominator by the whole number and add the numerator. So, 1 1/3 becomes (3 x 1) + 1 = 4/3.
– If you’re ever unsure of what to do, draw a picture. Drawing a picture of the fractions you’re working with can help you see the problem more clearly.
Conclusion
Multiplying and dividing fractions may seem intimidating, but with a little practice, you can become a pro. Just remember to follow the steps carefully and simplify the answer if possible. And if you ever get stuck, don’t be afraid to ask for help. With these tips in mind, you’ll be dividing and multiplying fractions like a pro in no time.