When we have a decimal number like 1.375, expressing it as a fraction means representing it as a ratio of two integers. In other words, we want to find the equivalent fraction of the decimal number.
The answer to 1.375 as a fraction is 11/8.
Yes, the answer is a mixed fraction. The mixed fraction is 1 3/8.
To convert 1.375 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;
Step 2: Convert the numerator into an integer, multiply by 10, 100, 1000, and multiply the denominator by the same number;
Step 3: Simplify the obtained fraction;
Step 4: Get the answer;
Example 1: 1.375 can be written as 1375/1000. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 125. Therefore, 1375/1000 simplifies to 11/8.
Example 2: 1.375 can also be written as 275/200. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 25. Therefore, 275/200 simplifies to 11/8.
Example 3: 1.375 can be written as 55/40. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 5. Therefore, 55/40 simplifies to 11/8.
In mathematics, fractions 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 fraction bar (/) and the division slash (÷). The fraction bar is commonly used, where the numerator is written above the bar, and the denominator is written below the bar. For example, 3/4 represents the fraction three-fourths. The division slash is used in some countries, where the numerator is written above the slash, and the denominator is written below the slash. For example, 3 ÷ 4 represents the same fraction three-fourths.
There are several types of fractions in mathematics, including:
Proper fractions: These are fractions where the numerator is smaller than the denominator. For example, 1/2, 3/4, and 5/8 are proper fractions.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 7/4, 9/3, and 11/2 are improper fractions.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 1/2, 2 3/4, and 3 5/8 are mixed fractions.
Equivalent fractions: These are fractions that represent the same value but have different numerators and denominators. For example, 1/2, 2/4, and 3/6 are equivalent fractions.
A fraction consists of two main components:
Numerator: The numerator is the number written above the fraction bar. It represents the number of parts we have or the dividend in a division operation.
Denominator: The denominator is the number written below the fraction bar. It represents the total number of equal parts or the divisor in a division operation.
A decimal is a way of representing numbers that are not whole numbers 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. For example, 3.14, 0.5, and 2.75 are decimal numbers.
A decimal number consists of two main components:
Whole number part: The whole number part is the part of the decimal before the decimal point. It represents the whole units or the integer value of the number.
Fractional part: The fractional part is the part of the decimal after the decimal point. It represents the fraction or decimal value of the number.
There are several types of decimals, including:
Terminating decimals: These are decimals that have a finite number of digits after the decimal point. For example, 0.25, 0.75, and 2.50 are terminating decimals.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333..., 0.666..., and 0.1212... are repeating decimals.
Non-terminating decimals: These are decimals that have an infinite number of non-repeating digits after the decimal point. For example, π (pi) = 3.14159... and √2 (square root of 2) = 1.41421... are non-terminating decimals.
In the case of 1.375, it is a terminating decimal because it has a finite number of digits after the decimal point.
Converting 1.375 into a fraction, we follow the steps mentioned earlier:
Step 1: 1.375/1
Step 2: 1.375 * 1000 / 1 * 1000 = 1375/1000
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125. Therefore, 1375/1000 simplifies to 11/8.
Therefore, 1.375 as a fraction is 11/8.