Simplify 7/4 X 10/9 In 3 Easy Steps

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Multiplying fractions can be a bit tricky, but don't worry, we can simplify this expression in just 3 easy steps. Here's how:

Step 1: Multiply the Numerators and Denominators

To multiply fractions, we multiply the numerators (the numbers on top) together, and the denominators (the numbers on the bottom) together. So, we get:

(7 × 10) / (4 × 9)

Step 2: Calculate the Products

Now, let's calculate the products of the numerators and denominators:

7 × 10 = 70 4 × 9 = 36

So, the expression becomes:

70 / 36

Step 3: Simplify the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of 70 and 36. The GCD of 70 and 36 is 2. So, we divide both the numerator and denominator by 2:

70 ÷ 2 = 35 36 ÷ 2 = 18

Therefore, the simplified expression is:

35 / 18

And that's it! We've simplified the expression 7/4 × 10/9 in just 3 easy steps.

How to Multiply Fractions: A Brief Guide

Multiplying fractions is a fundamental operation in mathematics, and it's essential to understand the concept to solve various mathematical problems. Here's a brief guide on how to multiply fractions:

Why Multiply Fractions?

Multiplying fractions is useful in real-life scenarios, such as:

• Measuring ingredients for a recipe
• Calculating distances or speeds
• Determining probabilities

The Multiplication Process

To multiply fractions, follow these steps:

1. Multiply the numerators (the numbers on top) together.
2. Multiply the denominators (the numbers on the bottom) together.
3. Simplify the resulting fraction, if possible.

For example, let's multiply 1/2 and 3/4:

(1 × 3) / (2 × 4) = 3/8

Common Mistakes to Avoid

When multiplying fractions, here are some common mistakes to avoid:

• Multiplying the numerators and denominators separately
• Forgetting to simplify the resulting fraction
• Changing the order of the fractions (multiplication is commutative, but it's essential to follow the correct order)

By following these steps and avoiding common mistakes, you'll become proficient in multiplying fractions in no time!

Real-World Applications of Fraction Multiplication

Fraction multiplication has numerous real-world applications, including:

• Cooking: When measuring ingredients for a recipe, you may need to multiply fractions to determine the correct quantities.
• Science: In physics and chemistry, fraction multiplication is used to calculate distances, speeds, and probabilities.
• Finance: In finance, fraction multiplication is used to calculate interest rates, investment returns, and other financial metrics.

In conclusion, multiplying fractions is a fundamental mathematical operation that has numerous real-world applications. By understanding the concept and following the steps outlined in this article, you'll become proficient in multiplying fractions in no time!

We hope this article has helped you simplify the expression 7/4 × 10/9 and understand the concept of fraction multiplication. If you have any questions or need further clarification, please don't hesitate to ask.

Practice Time!

Try simplifying the following expressions:

• 3/4 × 2/5
• 2/3 × 3/4
• 1/2 × 3/4

Conclusion

In this article, we've simplified the expression 7/4 × 10/9 and provided a brief guide on how to multiply fractions. We've also discussed common mistakes to avoid and real-world applications of fraction multiplication. By practicing and applying the concepts outlined in this article, you'll become proficient in multiplying fractions in no time!

FAQ Section:

We hope this article has been informative and helpful. If you have any further questions or need clarification on any of the concepts, please don't hesitate to ask.