3/32 as a Decimal

Answer

3/32 in decimals can be written as 0.09375. It is a terminating decimal, meaning it has an end and does not repeat infinitely.

Explanation

To get 3/32 in decimal, we will use the division method. Here as 3 is smaller than 32, we will take help of the decimal method, which will give us 0.09375. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 3 is smaller than 32, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we cannot divide it by 32. We will add another 0 to make it 300.

Step 4: 300 divided by 32 is approximately 9 times. 32 × 9 = 288. Subtract 288 from 300 gives 12.

Step 5: Bring down another 0 in the dividend place to make it 120.

Step 6: 120 divided by 32 is approximately 3 times. 32 × 3 = 96. Subtract 96 from 120 gives 24.

Step 7: Bring down another 0 to make it 240. 240 divided by 32 is 7 times. 32 × 7 = 224. Subtract 224 from 240 gives 16.

Step 8: Bring down another 0 to make it 160. 160 divided by 32 is 5 times. 32 × 5 = 160. Subtract 160 from 160 gives 0. The division process ends with a remainder of 0, indicating that it is a terminating decimal.

The answer for 3/32 as a decimal will be 0.09375.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.