Simplify 2/15 X 9 In 3 Easy Steps

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Simplify 2/15 X 9 In 3 Easy Steps

Math can be challenging, but breaking down complex problems into manageable steps can make all the difference. In this article, we'll simplify the expression 2/15 x 9 in three easy steps. Whether you're a student, teacher, or simply someone who loves math, these steps will guide you through the process.

First, it's essential to understand the order of operations. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) helps us remember the correct order. Since our expression involves multiplication and division, we'll follow the order specified by PEMDAS.

Step 1: Multiply the Numerators and Denominators

To simplify the expression 2/15 x 9, we'll start by multiplying the numerators (2 and 9) and the denominators (15 and 1, since 9 is an integer and can be written as 9/1).

Numerators: 2 x 9 = 18 Denominators: 15 x 1 = 15

So, the expression becomes 18/15.

Step 2: Simplify the Fraction

Now that we have the expression 18/15, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 18 and 15 is 3.

To simplify the fraction, we'll divide both the numerator and denominator by the GCD (3).

Numerator: 18 ÷ 3 = 6 Denominator: 15 ÷ 3 = 5

The simplified expression is now 6/5.

Step 3: Write the Final Answer

Our final step is to write the simplified expression as a mixed number or an improper fraction. Since 6 is greater than 5, we can write it as a mixed number.

6 ÷ 5 = 1 with a remainder of 1

So, the final answer is 1 1/5.

Practical Applications of Simplifying Math Equations

Simplifying math equations is an essential skill that can be applied in various real-life situations. Here are a few examples:

• Cooking: When following a recipe, you may need to multiply or divide ingredients. Simplifying fractions can help you measure the correct amounts.
• Shopping: When comparing prices or discounts, you may need to simplify fractions to determine the best deal.
• Science: Simplifying math equations is crucial in scientific calculations, such as converting between units or calculating ratios.

Common Mistakes to Avoid When Simplifying Math Equations

When simplifying math equations, it's essential to avoid common mistakes that can lead to incorrect answers. Here are a few tips:

• Make sure to follow the order of operations (PEMDAS).
• Double-check your calculations to ensure accuracy.
• Simplify fractions by finding the greatest common divisor (GCD).

Conclusion

Simplifying math equations can seem daunting, but breaking it down into manageable steps can make all the difference. By following the order of operations, simplifying fractions, and writing the final answer, you can become proficient in simplifying math equations. Remember to practice regularly and apply your skills to real-life situations. With time and patience, you'll become a math whiz!

We hope you found this article helpful! If you have any questions or would like to share your own math tips, please leave a comment below.