-2 17/18 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 from the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is -2 17/18 as a decimal?

$-2 17/18 as a decimal$

Answer

-2 17/18 in decimals can be written as -2.9444….. It is a recurring decimal, indicating that the digit 4 will repeat infinitely.

Explanation

To convert -2 17/18 to a decimal, we first convert the fraction part 17/18 to a decimal using division.

Step 1: Identify the numerator and denominator: the numerator (17) will be taken as the dividend, and the denominator (18) will be taken as the divisor.

Step 2: As 17 is smaller than 18, we will take the help of decimals. We will add 0 to the dividend, which will make 17 as 170, and add a decimal point in the quotient place.

Step 3: Now that it is 170, we can divide it by 18. Let's see how many times 18 fits into 170.

Step 4: 170 is not a multiple of 18, so we will find the nearest number. 18 × 9 = 162. We will write 9 in the quotient place and subtract 162 from 170, which gives us 8.

Step 5: Bring down another 0 in the dividend place to make it 80, and then repeat the division process. The division process continues, and we do not get the remainder as 0; this process creates a recurring decimal with 4 repeating.

Combine this decimal with the whole number part -2, resulting in -2.9444…..