3 Easy Steps To Divide 3/8 By 5/6

Quick Links :

Mastering the art of dividing fractions is a crucial skill in mathematics, and it's used in a wide range of real-world applications, from cooking and building to finance and science. In this article, we'll break down the process of dividing 3/8 by 5/6 into three easy steps. Whether you're a student looking to improve your math skills or a professional seeking to refresh your knowledge, this guide will provide you with a clear and concise understanding of the process.

Step 1: Invert the Second Fraction

The first step in dividing fractions is to invert the second fraction, which means flipping the numerator and denominator. In this case, we'll invert 5/6 to get 6/5. This step is crucial in the division process, as it allows us to multiply the fractions instead of dividing them.

Why Inverting Works

Inverting the second fraction works because of the properties of multiplication and division. When we multiply two fractions, we multiply the numerators together and the denominators together. By inverting the second fraction, we can change the division problem into a multiplication problem, making it easier to solve.

Step 2: Multiply the Fractions

Now that we've inverted the second fraction, we can multiply the fractions together. To do this, we'll multiply the numerators (3 and 6) and the denominators (8 and 5). This will give us a new fraction: (3 x 6) / (8 x 5) = 18 / 40.

Simplifying the Fraction

To simplify the fraction 18 / 40, we can find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 2. By dividing both the numerator and denominator by 2, we can simplify the fraction to 9 / 20.

Step 3: Simplify the Result

The final step is to simplify the result, if possible. In this case, the fraction 9 / 20 is already in its simplest form, so we can't simplify it further.

Real-World Applications

Dividing fractions is a crucial skill in a wide range of real-world applications, from cooking and building to finance and science. For example, if you're a chef, you might need to divide a recipe that serves 8 people by 5/6 to determine how much of each ingredient to use. By mastering the art of dividing fractions, you can tackle complex problems with confidence.

By following these three easy steps, you can divide 3/8 by 5/6 with ease. Remember to invert the second fraction, multiply the fractions, and simplify the result. With practice, you'll become a pro at dividing fractions and be able to tackle even the most complex math problems.

We hope this article has helped you understand the process of dividing fractions. If you have any questions or comments, please feel free to share them below. Don't forget to share this article with your friends and family who might benefit from learning about dividing fractions.