If you’re ever stuck on a math problem, it’s important to know how to properly reduce fractions. In this blog post, we’ll show you how to change mixed fractions into improper fractions, and vice versa. We’ll also provide a step-by-step guide on how to reduce fractions to their lowest terms. After reading this post, you’ll be a master at solving fractions!
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In mathematics, a fraction is a number that represents a part of a whole. It is written as two numbers separated by a line (called a fraction bar), with the top number (called the numerator) representing the amount of parts, and the bottom number (called the denominator) representing the total number of parts in the whole. For example, if there are ten students in a classroom, and two of them are boys, then the fraction “two-tenths” can be used to represent the ratio of boys to the total number of students.
What is 12.5 as a Fraction?
12.5 as a fraction is equal to 25/2. To convert a decimal to a fraction, divide the decimal by 1 and multiply the result by the denominator.
Decimals and fractions
There are many ways to represent a number, and sometimes different representations can be more or less useful depending on the context. For example, fractions are often used to represent numbers that cannot be evenly divided, such as when cutting a cake into equal pieces. Similarly, decimals are used to represent numbers that cannot be evenly divided into whole units, such as when measuring things like length or weight.
The number 12.5 can be represented in both decimal and fraction form. In decimal form, it is read as “twelve point five.” This means that there are 5 units after the decimal point, or that the number is 5/10ths of a unit. In fraction form, 12.5 can be written as 25/2, which means that there are 2 parts and each part is worth 1/5th of the whole. 12.5 can also be written as 5/2 in fraction form, which means that there are 2 parts and each part is worth 1/5th of the whole. The choice of representation is typically based on what is more convenient or meaningful in a given context.
Converting fractions to decimals
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).
For example, if we want to convert the fraction 3/4 to a decimal, we divide 3 by 4:
3 ÷ 4 = 0.75
We can also convert mixed fractions to decimals. A mixed fraction is a whole number plus a proper fraction. To convert a mixed fraction to a decimal, first convert the proper fraction part to a decimal, and then add the whole number part.
For example, if we want to convert the mixed fraction 5 1/4 to a decimal, we first convert 1/4 to a decimal:
1 ÷ 4 = 0.25
And then add the whole number part:
5 + 0.25 = 5.25
Understanding mixed numbers
When we talk about mixed numbers, we’re talking about a whole number and a fraction combined. For example, “3 1/2” is a mixed number. It’s made up of the whole number “3” and the fraction “1/2”.
To find an equivalent fraction for a mixed number, we need to first understand what an improper fraction is. An improper fraction is a top-heavy fraction, where the numerator (top number) is greater than the denominator (bottom number). Going back to our example of “3 1/2”, we can see that “1/2” is an improper fraction because the numerator (1) is greater than the denominator (2).
To convert a mixed number into an improper fraction, we need to follow these steps:
1) Multiply the whole number by the denominator of the fraction. In our example, we would multiply 3 by 2. This gives us 6.
2) Add the numerator of the fraction to this new sum. In our example, we would add 1 to 6. This gives us 7.
3) The final sum is your new numerator and the original denominator stays the same. In our example, 7 would be our new numerator and 2 would be our denominator. Therefore, “3 1/2” is equivalent to “7/2”.
In conclusion, 12.5 as a fraction is 1/8. This means that 12.5 out of every 100 is equal to 1/8th. When expressed in decimal form, 12.5% is equal to 0.125 or 1 divided by 8.