Equivalent Fractions - Review | Mathematics Grade 5 | Periwinkle

Summary

In this educational video, children learn about equivalent fractions, which represent the same portion of a whole. The script explains how two fractions are equivalent if their cross products are equal, using the example of 1/2 and 2/4. It then demonstrates how to generate equivalent fractions by multiplying both the numerator and denominator of a fraction by the same number. The video provides a step-by-step example using the fraction 3/4, showing how multiplying by 2, 3, 4, 5, and 6 results in equivalent fractions like 6/8, 9/12, 12/16, 15/20, and 18/24.

Takeaways

• 😀 Equivalent fractions represent the same part of a whole, even if they look different.
• 😀 1/2 and 2/4 are examples of equivalent fractions, as they show the same amount of the whole rectangle.
• 😀 Two fractions are equivalent when the product obtained by cross-multiplying them is the same.
• 😀 To check if two fractions are equivalent, multiply the numerator of one fraction by the denominator of the other and compare the results.
• 😀 Multiplying both the numerator and denominator of a fraction by the same number produces equivalent fractions.
• 😀 For example, by multiplying both the numerator and denominator of 3/4 by 2, you get 6/8.
• 😀 Other equivalent fractions for 3/4 include 9/12 (by multiplying by 3), 12/16 (by multiplying by 4), and so on.
• 😀 A series of equivalent fractions can be generated by multiplying both parts of a fraction by different whole numbers.
• 😀 The fractions 6/8, 9/12, 12/16, 15/20, and 18/24 are all equivalent to 3/4.
• 😀 Understanding equivalent fractions helps in comparing and simplifying fractions, making math easier to understand.

Q & A

What are equivalent fractions?

Equivalent fractions are fractions that represent the same part of a whole, even though they may have different numerators and denominators.

How do we know two fractions are equivalent?

Two fractions are equivalent when the product of the numerator of one fraction and the denominator of the other fraction is the same as the product of the numerator of the second fraction and the denominator of the first fraction. This is known as cross-multiplying.

Can you give an example of equivalent fractions from the script?

An example from the script is **1/2** and **2/4**. When we cross-multiply, 1 × 4 = 4 and 2 × 2 = 4, showing they are equivalent.

How do we find equivalent fractions for a given fraction?

To find equivalent fractions, we multiply both the numerator and the denominator of the given fraction by the same number.

What are the equivalent fractions of 3/4 as shown in the script?

The equivalent fractions of **3/4** are: **6/8**, **9/12**, **12/16**, **15/20**, and **18/24**.

Why do we multiply both the numerator and denominator by the same number?

Multiplying both the numerator and denominator by the same number does not change the value of the fraction, it just changes its appearance, providing different but equivalent fractions.

What happens if we multiply the numerator and denominator by different numbers?

If we multiply the numerator and denominator by different numbers, the resulting fraction will no longer be equivalent to the original fraction.

What does the term 'cross-multiply' mean in relation to equivalent fractions?

Cross-multiply means multiplying the numerator of one fraction by the denominator of the other fraction and vice versa, then comparing the two products to determine if the fractions are equivalent.

How is the process of finding equivalent fractions explained in the video?

In the video, the process of finding equivalent fractions is explained by multiplying both the numerator and the denominator by the same number, such as multiplying **3/4** by 2, 3, 4, 5, and 6 to get equivalent fractions.

What is the main takeaway about equivalent fractions from the video?

The main takeaway is that equivalent fractions represent the same portion of a whole, and they can be found by multiplying the numerator and denominator of a fraction by the same number.