-11/15 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts, numerator (the number on the top) here, -11 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 15. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is -11/15 as a decimal?

$-11/15 as a decimal$ Answer

-11/15 in decimals can be written as -0.7333. It is a recurring decimal, which means it will repeat the same digit infinitely.

Explanation

To get -11/15 in decimal, we use the division method. Here as 11 is smaller than 15, we will use the decimal method, which will give us -0.7333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-11) will be taken as the dividend and the denominator (15) will be the divisor.

Step 2: As 11 is smaller than 15, it can't be divided directly. We add a decimal point in the quotient and consider -11 as -110 by adding a zero.

Step 3: Now, divide 110 by 15. Let's see how many times 15 fits into 110.

Step 4: 15 goes into 110 seven times because 15 × 7 = 105. Write 7 in the quotient place and subtract 105 from 110, giving 5.

Step 5: Bring down another 0, making it 50, and repeat the division process.

Step 6: 15 goes into 50 three times because 15 × 3 = 45. Write 3 in the quotient place and subtract 45 from 50, leaving 5. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for -11/15 as a decimal will be -0.7333.

Important Glossaries for -11/15 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Recurring Decimal: A decimal that continues infinitely, repeating a sequence of digits.