When we write a number as a fraction, it means expressing it as a ratio of two integers. In the case of 1.125, it means finding the fraction that is equivalent to this decimal number.
The answer to 1.125 as a fraction is 9/8.
Yes, the answer is a mixed fraction. The mixed fraction is 1 1/8.
To convert 1.125 into a fraction, we can follow these steps:
Step 1: First convert it into a fraction with a denominator of 1, which is equal to the decimal itself. In this case, it would be 1.125/1.
Step 2: Convert the numerator into an integer by multiplying it by 1000 (since there are three decimal places) and multiply the denominator by the same number. This gives us 1125/1000.
Step 3: Simplify the obtained fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 1125 and 1000 is 125. Dividing both by 125 gives us 9/8.
Step 4: The simplified fraction 9/8 is the answer.
Example 1: Convert 1.125 into a fraction.
Step 1: 1.125/1
Step 2: 1125/1000
Step 3: Simplifying by dividing both by 125 gives us 9/8.
Fractions in mathematics represent a part of a whole or a division of one quantity by another. They are used to express numbers that are not whole numbers or integers. Fractions are essential in various mathematical operations, such as addition, subtraction, multiplication, and division.
The symbols used to represent fractions are the numerator and denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
There are several types of fractions:
Proper fractions: These are fractions where the numerator is smaller than the denominator, such as 1/2 or 3/4.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator, such as 5/4 or 7/3.
Mixed fractions: These are a combination of a whole number and a proper fraction, such as 2 1/2 or 3 3/4.
Equivalent fractions: These are fractions that represent the same value but have different numerators and denominators, such as 1/2 and 2/4.
A fraction consists of two components:
Numerator: The numerator is the number above the fraction line and represents the number of parts we have.
Denominator: The denominator is the number below the fraction line and represents the total number of equal parts in the whole.
A decimal is a way of representing numbers that are not whole or integers. It is based on the powers of 10 and uses a decimal point to separate the whole number part from the fractional part. The symbol used to represent a decimal is a dot or period (.), placed between the whole number and the fractional part.
A decimal consists of two components:
Whole number part: The whole number part is the part of the decimal before the decimal point. It represents the whole units.
Fractional part: The fractional part is the part of the decimal after the decimal point. It represents the fraction or decimal fraction of a whole unit.
There are several types of decimals:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point, such as 0.25 or 0.75.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point, such as 0.333... or 0.8181...
Non-terminating and non-repeating decimals: These are decimals that do not have a repeating pattern and go on indefinitely without terminating, such as π (pi) or √2 (square root of 2).
In the case of 1.125, it is a terminating decimal because it has a finite number of digits after the decimal point.