Solve 7 Divided By 2/5 In Fraction Form Easily

Quick Links :

Understanding Fractions and Division

Division and fractions are fundamental concepts in mathematics that can sometimes be tricky to navigate. However, with the right approach and understanding, solving problems involving these concepts can become straightforward. In this article, we'll delve into solving a specific problem: 7 divided by 2/5 in fraction form.

What is a Fraction?

Before we dive into the problem, let's quickly review what a fraction is. A fraction is a way to represent a part of a whole as a ratio of two numbers. The top number, known as the numerator, tells us how many equal parts we have, and the bottom number, known as the denominator, tells us how many parts the whole is divided into.

How to Solve 7 Divided by 2/5

To solve 7 divided by 2/5, we need to understand that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So, the reciprocal of 2/5 is 5/2.

Therefore, 7 divided by 2/5 is the same as 7 multiplied by 5/2. This can be written as:

7 ÷ 2/5 = 7 × 5/2

Calculating the Result

Now, let's calculate the result:

7 × 5/2 = 35/2

So, 7 divided by 2/5 equals 35/2.

Understanding the Result

To understand the result, let's break it down:

• The numerator, 35, tells us that we have 35 equal parts.
• The denominator, 2, tells us that the whole is divided into 2 parts.

In other words, 35/2 represents 35 equal parts out of a total of 2 parts.

Visualizing the Result

Imagine you have 35 cookies, and you want to divide them into 2 groups. How many cookies would each group have?

Since we have 35 cookies and we want to divide them into 2 groups, we can divide 35 by 2 to get the result.

35 ÷ 2 = 17.5

So, each group would have 17.5 cookies.

Real-World Applications

Fractions and division have numerous real-world applications. Here are a few examples:

• Cooking: Recipes often require dividing ingredients into fractions. For example, a recipe might call for 2/3 cup of flour.
• Finance: Interest rates are often expressed as fractions. For example, a savings account might earn 1/4% interest per year.
• Science: Fractions are used to express ratios of different quantities. For example, the ratio of hydrogen to oxygen in water is 2:1.

Conclusion

In conclusion, solving 7 divided by 2/5 in fraction form is a straightforward process that involves multiplying by the reciprocal of the fraction. By understanding the concept of fractions and division, we can easily solve this problem and apply it to real-world scenarios.

Takeaway Tips

Here are some takeaway tips to keep in mind:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• To solve a division problem involving fractions, multiply the numerator by the reciprocal of the denominator.
• Fractions have numerous real-world applications, including cooking, finance, and science.

Share Your Thoughts!

We hope this article has helped you understand how to solve 7 divided by 2/5 in fraction form. Share your thoughts and questions in the comments below!