A step-by-step guide on how to change 64 to a fraction using both division and multiplication methods.
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What is a Fraction?
A fraction (from Latin fractus, “broken”) represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common or vulgar fraction (e.g. one-half, two-fifths) expresses a quantity included in one whole unit by means of a numerator (one, two) and a denominator (two, five), separated by a horizontal line (/).
Fractions are used to represent division and can be represented in mathematical notation by writing the numerator over the denominator as above with horizontal lines separating them. The division is then pronounced as “the number so-and-so divided by such-and-such”. Common fractions have both numerators and denominators that are positive integers; if either is negative then the entire fraction is negative. Zero as a numerator produces 0 as the value of the fraction; zero as a denominator results in division by zero which is undefined or operations that lead to undefined results such as taking the reciprocal of an entire fraction whose numerator is 0 which would give undefined results when trying to multiply defined quantities.
If a fraction represents division where there is no remainders then it is called an exact or terminating decimal: for example 1/2 = 0.5 but if there was say 3 pieces then it would be written as 3/2 = 1 1/2 because there would be one whole plus one half or 1.5 pieces and so on for other terminating decimals such 7/4 = 1 3/4. If there are an infinite number of pieces then it may be called an infinite decimal: for example 1/3 = 0.(3) which has an infinite string of 3s after the decimal point but no finite string will suffice to express it exactly. Fractions may also take on other terminology: for example improper fractions denote fractions where the numerator is greater than or equal to the denominator while mixed fractions denote non negative integer plus a proper fraction: for example 2 1/2 represents 2 plus one half or 2 + 1/2.
What is 64 as a Fraction?
64 can be written as a fraction in several different ways. The easiest way to remember how to do this is to think of the number 64 as being made up of two equal parts. Each of these parts can be written as a fraction, so the number 64 can be written as a fraction in several different ways. Let’s take a look at a few of the most common ways to write 64 as a fraction.
What is the numerator?
The numerator is the number on top of the fraction (above the line). In this case, it is 64. The denominator is the number on the bottom of the fraction (below the line). In this case, it is 1.
What is the denominator?
The denominator is the number below the line in a fraction (64 in this case). The numerator is the number above the line. A fraction represents a part of a whole. In this case, 64/100 represents 64 out of 100, or 64%.
What is the mixed number?
When discussing fractions, it is often helpful to think of a mixed number. A mixed number is a combination of a whole number and a fraction. For example, if someone were to ask “What is three and a half?” you would say “three and a half” or “three and a half years old.” You would not say “I am three years old plus six months.” This is because three and a half is already a mixed number – it includes both the whole number (three) and the fraction (a half).
Similarly, if someone were to ask you “What is sixty-four as a fraction?” you could say “sixty-four over one” or “sixty-four whole,” but an improper fraction would not be an accurate answer. An improper fraction is when the numerator (top number) is greater than the denominator (bottom number). In this case, the numerator (64) is greater than the denominator (1), so 64 would be an improper fraction.
To find the mixed number for 64, we need to divide 64 by 1. This will give us the whole number part of our mixed number. Since 64 divided by 1 equals 64, our whole number part is 64.
Now we need to figure out the fraction part. To do this, we take the remainder of our division problem – in this case, there is no remainder, so our fraction part will be 0 over 1.
Therefore, our final answer for what 64 as a fraction would be – sixty-four over one – or sixty-four whole.
How to Convert 64 to a Fraction
There are a couple different ways that you can convert 64 to a fraction. The first way is to use a calculator, and the second way is to divide 64 by 100. If you need to know how to convert 64 to a fraction, then you can use either of these methods.
Convert using a calculator
To convert 64 to a fraction using a calculator, divide 64 by 1. This will give you the answer in decimal form. To convert the decimal answer to a fraction, use the steps below.
1) Locate the decimal point in the answer. In this case, it is after the number 2.
2) Count the number of digits to the right of the decimal point. In this case, there are 3 digits.
3) Place the number above the decimal point over a denominator that has as many zeroes as there are digits to the right of the decimal point. In this case, place 2 over 1000 (denominator = 1000). This will give you the answer in fraction form: 2/1000 or 1/500.
Convert using a mixed number
When converting 64 to a fraction, you first need to determine what base number you are working with. In this case, we are working with the number 64. Next, you need to determine what power of 10 this number is equal to. In this case, 64 is equal to 6 x 10. To convert this to a mixed number, you need to divide 6 by 10. This gives you the answer 0.6 as a mixed number.
How to Convert a Fraction to a Decimal
To convert a fraction to a decimal, divide the numerator by the denominator. In other words, 64 as a fraction is 64/1. Therefore, to convert it to a decimal, simply divide 64 by 1 which will give you the answer of 64.0.
Convert using a calculator
You can use a calculator to convert a fraction to a decimal by using the division sign. For example, if you want to convert the fraction ¾ to a decimal, you would divide 3 by 4 on most calculators. This would give you the answer of .75 on the calculator, which is the same as 75/100, or 3/4 in fraction form.
Convert using a mixed number
One way to convert a fraction to a decimal is by using a mixed number. A mixed number is a whole number and a fraction combined, such as 3 1/2 or 5 3/4. To convert a mixed number to a decimal, first multiply the whole number by the denominator of the fraction. Then, add the product to the numerator of the fraction. The final sum is your decimal answer. For example, if you want to convert 3 1/2 to a decimal, first multiply 3 (the whole number) by 2 (the denominator of the fraction). That gives you 6. Add 1 (the numerator of the fraction), and your final sum is 7, which is 3 1/2 in decimal form.