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A fraction is a number that tells us how many parts are in a whole. A slash distinguishes it between the top and bottom numbers. The top number is called the numerator, and the bottom is called the denominator. An example of a fraction is 3/4. It names a part of an area or collection. In addition to being a mathematical term, a fraction is a part of a larger whole.

## Proper fractions

Proper fractions are numbers with numerators that are smaller than their denominators. For example, a fraction of two-thirds is a proper fraction because the numerator is two and the denominator is three. Similarly, a fraction of one-third is a proper fraction since it gives three as a remainder.

Proper fractions are an excellent way to learn how to divide a whole number into smaller parts. They are also helpful in the real world, especially when you want to compare two quantities. To simplify fractions, you can divide them with whole numbers or integers and then use LCD to find the sum of the fractions.

### Like fractions

A fraction is a unit of measurement that describes part of a whole. This part of a whole can be any size, and fractions represent the number of equal parts. This makes fractions a handy tool for teaching math, especially in the context of measurement. It also helps children understand size and proportion.

Like fractions have the same denominator, they can be easily added together. The denominator is the number on the bottom of a fraction. To convert fractions into like fractions, you need to divide the denominator of one fraction by the other.

### Reciprocal fractions

Reciprocal fractions are obtained by dividing a fraction by a whole number. Hence, the reciprocal of x is y/x. Similarly, the reciprocal of y/z is 1/(x/y). When dividing a fraction by a whole number, one should convert division into multiplication. Therefore, dividing 2/3 by 2 becomes (2/3) x (1/2).

Reciprocal fractions are written by reversing the numerator and denominator of a number. In other words, the reciprocal of a number is the same as the original fraction, only it is written upside down.

### Common denominator

Several strategies are available to find the common denominator of a fraction. The simplest one involves multiplying the two denominators together. The more complex method involves finding the least common multiples, which requires breaking each denominator down into its prime factors. The common factor of a fraction is the number of replicated factors that are the same as the number in the denominator.

A common denominator is also known as the standard divisor. It can be derived from the denominators themselves or obtained by cross-multiplying the two fractions. The smaller the number, the greater the common denominator.

### Numerator

In mathematics, a numerator is a number above the line of a fraction. For example, in a fraction of 3/5, the numerator is the number that represents how many parts of the whole were removed. At the same time, the denominator is the number of equal parts remaining. As a rule of thumb, the numerator is always smaller than the denominator. This means that a fraction that contains a zero numerator will be harmful, and vice versa.

Here’s a guide if you can’t remember what a numerator is. First, you’ll need to remember the names of the fractions. In some cases, the denominator is a fraction that represents a whole, while others are negative.

### The common denominator for multiplication

The easiest way to find the common denominator of two fractions is to multiply the numerator by the denominator. This is called the common denominator trick. This trick can be used with any fraction. The first step in finding the common denominator is determining which fractions have the same denominator.

Once you know which fraction has the lowest common denominator, you can multiply it with the other fractions. To do this, you will need to simplify the fraction. To do so, place a single 1 in the denominator.