When we have a decimal number like 0.9375, expressing it as a fraction means representing it as a ratio of two integers. In this case, we want to find the fraction that is equivalent to 0.9375.
The answer to 0.9375 as a fraction is 15/16.
No, the answer is not a mixed fraction. A mixed fraction consists of a whole number and a proper fraction. In this case, the fraction 15/16 is already in its simplest form and cannot be further simplified. Therefore, it is not a mixed fraction.
To convert 0.9375 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, 0.9375 can be written as 0.9375/1.
Step 2: Convert the numerator into an integer. Multiply it by 10, 100, 1000, or any power of 10, and multiply the denominator by the same number. This step is done to eliminate the decimal point. In this case, multiplying both the numerator and denominator by 10000 gives us 9375/10000.
Step 3: Simplify the obtained fraction. In this case, we can divide both the numerator and denominator by their greatest common divisor, which is 625. Simplifying gives us 15/16.
Step 4: Get the answer. The fraction 15/16 is the answer to 0.9375 as a fraction.
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 also represents the 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, 2/5 is a proper fraction.
Improper fractions: These are fractions where the numerator is equal to or greater than the denominator. For example, 7/4 is an improper fraction.
Mixed fractions: These are a combination of a whole number and a proper fraction. For example, 1 3/4 is a mixed fraction.
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 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 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 is a decimal number.
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 part of the number.
Fractional part: The fractional part is the part of the decimal after the decimal point. It represents the fraction or decimal fraction 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, 0.5 is a terminating decimal.
Repeating decimals: These are decimals that have a repeating pattern of digits after the decimal point. For example, 0.333... is a repeating decimal.
Non-terminating decimals: These are decimals that have an infinite number of digits after the decimal point without a repeating pattern. For example, π (pi) is a non-terminating decimal.
In the case of 0.9375, it is a terminating decimal because it has a finite number of digits after the decimal point.