Answer :
The fractions 4/7 and 28/49 both represent the same value, even though they have different numerators and denominators. These types of fractions are called equivalent fractions.
Here's why they are equivalent:
1. To check if two fractions are equivalent, you can simplify them to their lowest terms. In this case, if you simplify 4/7 and 28/49, you will find that both equal 4/7.
2. Equivalent fractions have the same value or represent the same part of a whole. In the example given, both 4/7 and 28/49 represent the same proportion of a whole.
3. Multiplying or dividing both the numerator and denominator of a fraction by the same number results in an equivalent fraction. In the case of 4/7 and 28/49, multiplying both the numerator and denominator of 4/7 by 4 gives 16/28, which simplifies to 4/7.
Therefore, fractions like 4/7 and 28/49, which may look different but have the same value, are known as equivalent fractions.
Here's why they are equivalent:
1. To check if two fractions are equivalent, you can simplify them to their lowest terms. In this case, if you simplify 4/7 and 28/49, you will find that both equal 4/7.
2. Equivalent fractions have the same value or represent the same part of a whole. In the example given, both 4/7 and 28/49 represent the same proportion of a whole.
3. Multiplying or dividing both the numerator and denominator of a fraction by the same number results in an equivalent fraction. In the case of 4/7 and 28/49, multiplying both the numerator and denominator of 4/7 by 4 gives 16/28, which simplifies to 4/7.
Therefore, fractions like 4/7 and 28/49, which may look different but have the same value, are known as equivalent fractions.
