What is 1/5 Divided by 3?

Dividing fractions can be a bit tricky, but it’s not as complex as it may seem. In this blog post, we will explore the concept of dividing a fraction by a whole number and provide a step-by-step explanation of how to do it.

What is 1/5 Divided by 3?

When you divide 1/5 by 3, the result is 1/15. This means that if you want to distribute one-fifth equally among three groups, each group would receive one-fifteenth of the total. Fractions allow us to express and work with parts of a whole, and dividing them helps distribute those parts evenly.

Understanding Fractions:

Before we dive into dividing fractions, let’s review some fundamental concepts about fractions. A fraction represents a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole.

In the case of “1/5,” the numerator is 1, which means we have one part, and the denominator is 5, indicating that there are a total of five equal parts in the whole.

Dividing a Fraction by a Whole Number:

When we divide a fraction by a whole number, we can think of it as finding a fraction of that whole number. In this case, we want to calculate “1/5 divided by 3,” which means we want to find one-fifth of the number 3.

Step-by-Step Solution:

1. Convert the Whole Number to a Fraction: To divide a fraction by a whole number, first convert the whole number to a fraction. To do this, place the whole number over 1. So, 3 becomes 3/1.
2. Invert the Fraction: When dividing fractions, we find the reciprocal (or inverse) of the second fraction. In this case, the second fraction is 3/1, so its reciprocal is 1/3.
3. Multiply the Fractions: To find the result, simply multiply the two fractions together.(1/5) ÷ (3/1) = (1/5) * (1/3)
4. Multiply the Numerators and Denominators: Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.(1 * 1) / (5 * 3)
5. Perform the Multiplication:Numerator: 1 * 1 = 1 Denominator: 5 * 3 = 15
6. Simplify the Fraction: If possible, simplify the fraction by finding a common factor for the numerator and denominator. In this case, 1/15 is already in its simplest form, so the final result is:1/15

Conclusion:

So, 1/5 divided by 3 is equal to 1/15. This means that if you want to find one-fifth of the number 3, the answer is 1/15. Fractions are a powerful mathematical tool for representing parts of a whole, and understanding how to divide them is a valuable skill in various mathematical and real-life contexts.