-4/3 as a Decimal

Answer

-4/3 in decimals can be written as -1.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -4/3 in decimal, we will use the division method. Here, as 4 is larger than 3, we will directly divide the numbers. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-4) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

Step 2: Divide 4 by 3. Since 4 is larger than 3, we can divide directly.

Step 3: 4 divided by 3 gives 1 with a remainder of 1. However, since the fraction is negative, the result will be negative, so we have -1 as the whole number.

Step 4: Now, we will focus on the remainder. The remainder is 1, which we will convert to 10 by adding a decimal point in the quotient place.

Step 5: Divide 10 by 3, which gives 3 with a remainder of 1. We write 3 in the decimal place after -1, making it -1.3.

Step 6: Bring down another 0 in the dividend place and repeat the division process. The result will be a recurring decimal -1.3333… The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -4/3 as a decimal will be -1.3333……

• 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 in which one or more digits repeat infinitely. ```