7.5 can be expressed as a fraction or a mixed number. To convert it into a fraction, we need to remember that the decimal part can be written as a fraction with a denominator based on the number of decimal places. In this case, 7.5 has one decimal place, so we use 10 as the denominator.
Therefore, 7.5 as a fraction is 75/10. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common factor, which is 5. As a result, we obtain the simplified fraction 15/2.
Another way to express 7.5 is as a mixed number. A mixed number consists of a whole number and a fractional part. To find the whole number part, we divide the numerator by the denominator.
In this case, when we divide 15 (the numerator) by 2 (the denominator), the quotient is 7 and the remainder is 1. Therefore, the mixed number representation of 7.5 is 7 1/2.
Writing a decimal number as a fraction may seem intimidating, but it is actually quite simple. To write 7.5 as a fraction, we can begin by recognizing that it is a decimal number with one decimal place. In other words, there is one digit to the right of the decimal point.
Since 7.5 has a decimal part, we need to convert it into a fraction. To do this, we can consider the digit to the right of the decimal point as the numerator and the place value as the denominator. In this case, the digit 5 is the numerator and the place value 10 is the denominator.
Now, we can simplify the fraction. Both the numerator and denominator have a common factor of 5, so we can divide them both by 5. After simplification, we get the fraction 5/10.
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5. Dividing 5 by 5 gives us 1, and dividing 10 by 5 gives us 2. Therefore, the simplified fraction for 7.5 is 1/2.
So, 7.5 can be written as the fraction 1/2. It is important to note that this fraction is in its simplest form and cannot be further reduced.
A mixed number is a number that contains both a whole number and a proper fraction. In the case of 7 5, we have 7 as the whole number and 5 as the numerator of the fraction. To convert this to a mixed number, we divide the numerator (5) by the denominator (1) to get the whole number part of the mixed number. Therefore, 7 5 as a mixed number is 7 1/5.
The whole number part, 7, represents the total number of whole units we have. In this case, it means we have 7 whole units. The fraction part, 1/5, represents a part of a whole unit. It means we have 1 out of 5 equal parts of a whole unit.
The mixed number can also be represented as a decimal. To convert the fraction 1/5 to a decimal, you divide the numerator (1) by the denominator (5). This gives us the decimal value of 0.2. Therefore, 7 5 as a mixed number is equivalent to 7 0.2 as a decimal.
In summary, 7 5 as a mixed number is equal to 7 1/5 or 7 0.2 as a decimal. It represents 7 whole units and 1 out of 5 equal parts of a whole unit.
Writing a mixed number involves representing a number that has both a whole number and a fraction. In order to write a mixed number, you need to understand the concept of fractions and their relationship with whole numbers.
When writing a mixed number, you typically start by writing the whole number part, followed by a space, and then the fraction part. The fraction part is represented as a numerator (the top number) and a denominator (the bottom number) separated by a slash (/).
For example, let's say we have the fraction 5/2. To write it as a mixed number, we need to divide the numerator by the denominator. In this case, 5 divided by 2 equals 2 with a remainder of 1. The whole number part is 2, and the remainder becomes the numerator of the fraction part. Therefore, the mixed number representation of 5/2 is 2 1/2.
Another example is the fraction 7/3. When we divide 7 by 3, we get 2 with a remainder of 1. Again, the whole number part is 2, and the remainder becomes the numerator of the fraction part. So, the mixed number representation of 7/3 is 2 1/3.
One important thing to note is that if the fraction part is already reduced, meaning that the numerator and denominator have no common factors other than 1, the fraction part should be simplified before writing it as a mixed number.
For instance, if we have the fraction 8/6, we need to simplify it first. Both 8 and 6 can be divided by 2, resulting in 4/3. After simplifying, we can proceed to divide the numerator by the denominator. In this case, 4 divided by 3 equals 1 with a remainder of 1. So, the mixed number representation of 8/6 is 1 1/3.
To summarize, writing a number as a mixed number involves dividing the numerator by the denominator, using the whole number part as the quotient and the remainder as the numerator of the fraction part. If the fraction part is already simplified, it should be simplified further before representing it as a mixed number.
What is 7.5 as a decimal?
When you have the number 7.5 and you want to express it as a decimal, you simply write it as 7.5.
The decimal system is a way of expressing numbers where each digit represents a different power of 10. The number 7.5 can be split into two parts: the whole number part, which is 7, and the decimal part, which is 0.5.
In decimal form, the whole number part is always written to the left of the decimal point, while the decimal part is written to the right, preceded by the decimal point itself. So, 7.5 as a decimal is written as 7.5.