In mathematics, equivalent fractions are fractions that have the same value, but are written using different numbers. These fractions can be found by multiplying or dividing both the numerator and denominator of the original fraction by the same number. So, when we talk about what 1/4 is equivalent to, we are looking for other fractions that have the same value as 1/4.
One way to find equivalent fractions is to multiply or divide both the numerator and denominator of the fraction by the same number. For example, if we multiply 1/4 by 2/2, we get 2/8. Similarly, if we multiply 1/4 by 3/3, we get 3/12. By continuing this process, we can find many equivalent fractions to 1/4, such as 4/16, 5/20, 6/24, and so on.
It is important to note that while these fractions may have different numerators and denominators, they all represent the same value as 1/4. They are just different ways of expressing the same amount. Equivalent fractions can be useful in different situations, such as when comparing or simplifying fractions.
To further illustrate, let’s consider a real-life example. Imagine you have a pizza that is divided into 4 equal slices. If you take one of those slices, you have 1/4 of the pizza. Now, let’s say you want to share that slice equally among your friends. You can divide it into smaller pieces. If you cut that slice into 8 equal parts, each part would be 1/8 of the original slice, which is equivalent to 1/4 of the whole pizza.
1/4 is equivalent to fractions such as 2/8, 3/12, 4/16, and so on. These fractions represent the same value as 1/4, but are written using different numbers. Equivalent fractions are found by multiplying or dividing both the numerator and denominator of the original fraction by the same number. They allow us to express the same amount in different ways and can be useful in various mathematical situations.