6/32 as a Decimal

Answer

6/32 in decimals can be written as 0.1875. It is a terminating decimal, showing that it ends and does not repeat infinitely.

Explanation

To get 6/32 in decimal, we will use the division method. Here, as 6 is smaller than 32, we will take the help of the decimal method, which will give us 0.1875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 6 is smaller than 32, it can't be divided directly; here, we will take the help of decimals. We will add 0 to the dividend, making 6 as 60, and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 32. Let's see how many times 32 makes 60.

Step 4: 60 is not a multiple of 32, so we will look for the nearest number. 32 goes into 60 once, so we write 1 in the quotient place and subtract 32 from 60, which gives 28.

Step 5: Bring down another 0 to make 280. Dividing 280 by 32 gives 8, as 32 times 8 is 256. Subtracting 256 from 280 gives 24.

Step 6: Bring down another 0 to make 240. Dividing 240 by 32 gives 7, as 32 times 7 is 224. Subtracting 224 from 240 gives 16.

Step 7: Bring down another 0 to make 160. Dividing 160 by 32 gives 5, as 32 times 5 is 160, leaving no remainder.

The answer for 6/32 as a decimal will be 0.1875.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.