9/32 as a Decimal

Answer

9/32 in decimals can be written as 0.28125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 9/32 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: Divide 9 by 32 using the long division method.

Step 3: As 9 is smaller than 32, it can't be divided directly, so we will add a decimal point and a zero to the dividend, making it 90.

Step 4: Now divide 90 by 32. 32 goes into 90 two times. Write 2 in the quotient place.

Step 5: Subtract 64 (32 × 2) from 90, which gives 26.

Step 6: Bring down another 0, making it 260. Divide 260 by 32. 32 goes into 260 eight times. Write 8 in the quotient place.

Step 7: Subtract 256 (32 × 8) from 260, which gives 4.

Step 8: Bring down another 0, making it 40. Divide 40 by 32. 32 goes into 40 one time. Write 1 in the quotient place.

Step 9: Subtract 32 (32 × 1) from 40, which gives 8.

Step 10: Bring down another 0, making it 80. Divide 80 by 32. 32 goes into 80 two times. Write 2 in the quotient place.

Step 11: Subtract 64 (32 × 2) from 80, which gives 16.

Step 12: Bring down another 0, making it 160. Divide 160 by 32. 32 goes into 160 five times. Write 5 in the quotient place. The division process ends with a remainder of 0.

The answer for 9/32 as a decimal will be 0.28125.

• 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.