Finding the Correct Expression for 5 46 in the Fractional Form

Mathematics is an important subject that requires a great deal of practice and familiarity with basic concepts. Fractions are one of the most important topics in mathematics, and they can be used to perform a wide variety of calculations. Finding the correct expression for 5 46 in the fractional form is a task that requires some knowledge of fractions and how to manipulate them. In this article, we will look at how to correctly express 5 46 in the fractional form.

Understanding Fractions

Before attempting to find the correct expression for 5 46 in the fractional form, it is important to understand the concept of fractions. A fraction is a part of a whole, and it is represented by two numbers separated by a fraction bar. The top number, called the numerator, represents the number of portions out of the whole, and the bottom number, called the denominator, indicates the number of portions that make up the whole. For example, the fraction 1/2 means that there is one portion out of two total portions.

Converting Decimals to Fractions

The first step in finding the correct expression for 5 46 in the fractional form is to convert the decimal number into a fraction. To do this, the decimal portion of the number must be converted into an equivalent fraction with a denominator of 10. In the case of 5 46, the decimal portion is .46, which can be written as 46/100. This means that 5 46 can be written as 5 46/100.

Simplifying Fractions

Once the fraction is written in its simplest form, the next step is to simplify it. Simplifying a fraction means reducing the numerator and denominator of the fraction to their lowest common factor. In the case of 5 46/100, the lowest common factor of the numerator and denominator is 23. This means that 5 46/100 can be written as 5 23/50.

Converting Improper Fractions to Mixed Numbers

The next step in finding the correct expression for 5 46 in the fractional form is to convert the fraction into a mixed number. A mixed number is a combination of a whole number and a fraction. In the case of 5 23/50, the whole number part is 5 and the fractional part is 23/50. This means that 5 46/100 can be written as 5 23/50, or 5 1 23/50.

Adding Fractions

If the fraction contains more than one fraction, then it is necessary to add the fractions together to get the correct expression. In the case of 5 46/100, the fraction can be written as 5 23/50 + 23/50. To add the fractions, the denominators must be the same. This means that the fractions must be multiplied by the same number to make the denominators the same. In this case, the fractions can be multiplied by 2, giving the expression 5 46/100 as 5 23/50 + 46/100.

Conclusion

Finding the correct expression for 5 46 in the fractional form requires a basic understanding of fractions and how to manipulate them. First, the decimal portion of the number must be converted into a fraction and then simplified. Next, the fraction can be converted into a mixed number. Finally, if the fraction contains more than one fraction, then the fractions must be added together. With some practice and understanding of the concepts behind fractions, it is possible to accurately find the correct expression for 5 46 in the fractional form.