What Is 9/12 as a decimal + Solution With Free Steps

9by12 As A Decimal

The fraction 9/12 as a decimal is equal to 0.75.

A fraction in mathematics determines the number of identically sized parts united to form a single and complete object. The numerator and the denominator, fractions’ two separate components, are divided to provide the fraction’s answer, which is a whole or decimal number.

Any value between two whole numbers can be represented by a Decimal Number, recognized by a decimal point. The value to the right of a decimal point shows the fundamental number part, while the matter to the left of the decimal point indicates the fractional part.

There are numerous ways to convert fractions into decimals in mathematics, but Long Division is the most frequently used.

Solution

One of the important steps for converting a fraction into a decimal is to change it into division. We can do this by making the numerator of a fraction a Dividend and the denominator of a fraction a Divisor. Thus, the numerator is to be divided by the denominator. Therefore, on 9/12, we have:

Dividend = 9

Divisor =12

The result of this division is a decimal number with the same numeric value as that of a fraction and is called the Quotient.

Quotient = Dividend $\div$ Divisor = 9 $\div$ 12

If we cannot solve a division completely, we get another value known as Remainder. A non-zero value of the remainder means that the numerator has not been divided completely.

Given below is the complete method to solve the fraction of 9/12.

9 12 as a decimal

Figure 1

9/12 Long Division Method

9/12 can be written as:

9 $\div$ 12

We should have a dividend greater than the divisor to divide two numbers. When it is not the case, we make it greater than the divisor by inserting a decimal point in the quotient. By doing this, we get our dividend multiplied by 10. An important point to remember is that the decimal point is inserted only once and after that remainder is multiplied by 10 but without any other decimal point in the quotient. This remainder then acts as the dividend for further iteration.

In the fraction of 9/12, dividend 9 is less than 12, so we will introduce a decimal point, make it 90 and divide by 12.

90 $\div$ 12 \approx 7

12 x 7 = 84

A remainder of 6 is generated.

90 – 84 = 6

This 6 is again less than 12, so we make it 60. Now 60 is divided by 12, as shown below.

60 $\div$ 12 = 5

12 x 5 = 60

This time, we don’t have any remaining value.

60 -60 = 0

This prompts us to conclude that the fraction 9/12 has been resolved and has a quotient of 0.75 with no Remainder, which means that it is a Terminating Fraction.

9 12 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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