In this Video You will learn about Equivalent Fractions.
Equivalent fractions are fractions that represent the same portion of a whole or the same value, even though they may look different. To write equivalent fractions, you can multiply or divide both the numerator and the denominator by the same nonzero number. For example, 1/2, 2/4, and 3/6 are equivalent fractions because they all represent one-half of a whole. Similarly, you can find equivalent fractions for any fraction by multiplying or dividing both the numerator and denominator by the same number.
Let's dive deeper into how to find equivalent fractions.
1. **Multiplying or Dividing**: To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same nonzero number. This operation doesn't change the value of the fraction.
2. **Multiplying by 1**: One common technique is to multiply both the numerator and the denominator by 1 in a different form. For example, if you have the fraction 2/3, you can multiply both the numerator and the denominator by 2 to get 4/6. Since 2/2 equals 1, you're essentially multiplying by 1, which doesn't change the value of the fraction.
3. **Simplifying**: Conversely, you can also find equivalent fractions by dividing both the numerator and the denominator by the same number to simplify the fraction. For instance, if you have 6/12, you can divide both the numerator and the denominator by 6 to get 1/2, which is the simplified equivalent fraction.
4. **Common Multiples**: Sometimes, you might want to find equivalent fractions with a specific denominator. In such cases, you can multiply both the numerator and the denominator by the same number to achieve the desired denominator while keeping the fraction equivalent.
For example:
- To find equivalent fractions for 1/2 with a denominator of 10, multiply both the numerator and the denominator by 5 to get 5/10.
- To find equivalent fractions for 2/3 with a denominator of 9, multiply both the numerator and the denominator by 3 to get 6/9.
In summary, equivalent fractions have the same value but may look different. You can find them by multiplying or dividing both the numerator and the denominator by the same nonzero number, or by multiplying by 1 in a different form.
11 сен 2024
