FRAÇÕES EQUIVALENTES - método FÁCIL |FRAÇÃO | | Matemática Básica | \Prof. Gis/

Summary

In this engaging lesson on Gis' channel, viewers are taught how to find equivalent fractions. Gis explains the concept by demonstrating various methods such as multiplying and dividing both the numerator and denominator by the same number. Through relatable examples, including pizzas and real-life scenarios, she emphasizes the infinite possibilities of equivalent fractions. She also covers the importance of equivalent fractions in addition and subtraction of fractions, providing hands-on exercises. Along the way, Gis interacts with her audience, gives shoutouts to fans, and encourages viewers to engage with her content. This class provides a fun, clear, and interactive approach to understanding fractions.

Takeaways

• 😀 Equivalent fractions can be found by multiplying or dividing both the numerator and the denominator by the same number.
• 😀 There are infinite equivalent fractions for any given fraction, and the process can be performed in many ways.
• 😀 Simplification of fractions is also a method of finding equivalent fractions, by dividing both the numerator and denominator by a common divisor.
• 😀 Multiplying the numerator and denominator by the same number (e.g., 2, 3, 4, etc.) generates new equivalent fractions.
• 😀 When working with fractions like 3/5, multiplying by 2 results in 6/10, which is an equivalent fraction.
• 😀 You can find equivalent fractions for fractions with any denominator, such as using 2/8 and multiplying it by 2 to get 4/16.
• 😀 Some fractions can be simplified by dividing both the numerator and denominator by the same number, like simplifying 2/8 to 1/4.
• 😀 Equivalent fractions are useful in operations like addition and subtraction, especially when the denominators are different.
• 😀 In some cases, the denominator is given, and you need to determine the equivalent numerator by multiplying.
• 😀 The concept of equivalent fractions is important in real-life contexts, like sharing pizzas, where fractions represent portions of a whole.

Q & A

What are equivalent fractions?

Equivalent fractions are different fractions that represent the same value or portion of a whole. For example, 3/5, 6/10, and 18/30 are all equivalent fractions because they represent the same amount, even though the numbers are different.

How can we find equivalent fractions for a given fraction?

To find equivalent fractions, you can either multiply or divide both the numerator and denominator by the same number. For example, if you multiply both the numerator and denominator of 3/5 by 2, you get 6/10, which is an equivalent fraction.

What is the importance of multiplying both the numerator and denominator by the same number when finding equivalent fractions?

Multiplying both the numerator and denominator by the same number ensures that the value of the fraction remains unchanged, even though the numbers representing the fraction are different. This maintains the proportional relationship between the two parts of the fraction.

Can equivalent fractions have different denominators?

Yes, equivalent fractions can have different denominators. For example, 3/5 and 6/10 are equivalent fractions, even though their denominators are different. The key is that they represent the same proportion of a whole.

How do you simplify a fraction to find an equivalent fraction?

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 2/8 can be simplified by dividing both numbers by 2, resulting in the equivalent fraction 1/4.

Why is it important to learn about equivalent fractions?

Learning about equivalent fractions is important because it helps in performing operations like addition and subtraction with fractions that have different denominators. Understanding how to find equivalent fractions allows for easier manipulation of fractions in mathematical operations.

What is the relationship between multiplication and division in finding equivalent fractions?

In finding equivalent fractions, you can either multiply or divide the numerator and denominator by the same number. Multiplication gives you larger equivalent fractions, while division simplifies fractions to smaller, more manageable forms.

Can you multiply both the numerator and denominator by different numbers to find an equivalent fraction?

No, to find an equivalent fraction, both the numerator and denominator must be multiplied or divided by the same number. Multiplying or dividing by different numbers will result in an incorrect fraction.

What are some real-world examples where equivalent fractions might be used?

Equivalent fractions are used in various real-world situations, such as dividing a pizza into different numbers of slices, adjusting recipes for different serving sizes, or allocating parts of a budget. Understanding equivalent fractions makes these tasks easier.

How do you know when to multiply or divide when finding equivalent fractions?

You decide whether to multiply or divide based on the problem. If you need a larger fraction, you multiply the numerator and denominator by the same number. If you're simplifying a fraction, you divide both the numerator and denominator by their GCD to reduce it to its simplest form.