6/5 Divided By 2 Made Simple

Quick Links :

The concept of dividing fractions can be a bit daunting, but don't worry, we've got you covered. In this article, we'll break down the process of dividing 6/5 by 2, making it simple and easy to understand.

To start, let's first understand the concept of fractions. A fraction is a way of representing a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). In this case, we have 6/5, where 6 is the numerator and 5 is the denominator.

Now, when we divide a fraction by a whole number, we need to follow a specific rule. To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

So, in this case, we need to multiply 6/5 by the reciprocal of 2, which is 1/2.

Step 1: Multiply the Numerators

To multiply the numerators, we simply multiply 6 by 1, which gives us 6.

Step 2: Multiply the Denominators

Next, we multiply the denominators, which is 5 multiplied by 2, giving us 10.

Step 3: Write the Result as a Fraction

Now, we can write the result as a fraction by dividing the product of the numerators by the product of the denominators. In this case, it's 6 divided by 10.

Simplifying the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of 6 and 10. The GCD is 2. We can then divide both the numerator and denominator by 2 to simplify the fraction.

So, the simplified fraction is 3/5.

Result

Therefore, 6/5 divided by 2 is equal to 3/5.

Example Use Cases

Now, let's look at some example use cases for dividing fractions. Suppose you have 6/5 of a pizza and you want to divide it among 2 people. You would multiply 6/5 by 1/2, which gives you 3/5. This means each person would get 3/5 of a pizza.

Another example is if you have 6/5 of a tank of gas and you want to know how much gas you would have left if you used 2/3 of it. You would multiply 6/5 by 2/3, which gives you 4/5. This means you would have 4/5 of a tank of gas left.

Benefits of Dividing Fractions

Dividing fractions has many practical applications in real-life scenarios. For instance, it can help you:

• Divide a pizza among a group of people
• Calculate the amount of ingredients needed for a recipe
• Determine the amount of gas left in a tank
• Measure the length of an object using a ruler

Common Mistakes to Avoid

When dividing fractions, there are some common mistakes to avoid:

• Forgetting to multiply by the reciprocal of the whole number
• Not simplifying the fraction after multiplying
• Not checking for the greatest common divisor (GCD) to simplify the fraction

Conclusion

Dividing fractions can seem daunting at first, but with practice and patience, it becomes second nature. By following the simple steps outlined in this article, you can master the art of dividing fractions and apply it to various real-life scenarios. Remember to always multiply by the reciprocal of the whole number, simplify the fraction, and check for the GCD to ensure accuracy.