17/32 as a Decimal

Answer

17/32 in decimal form is 0.53125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 17/32 in decimal, we will use the division method. Since 17 is smaller than 32, we will use the decimal method to convert it to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: As 17 is smaller than 32, it can't be divided directly, so we will add a decimal point to the quotient and add zeros to the dividend.

Step 3: Now consider 170. Divide 170 by 32 to see how many times 32 fits into 170.

Step 4: 32 goes into 170 five times (5 × 32 = 160). Write 5 in the quotient place and subtract 160 from 170, which gives 10.

Step 5: Bring down another 0 to make it 100. Divide 100 by 32, which goes three times (3 × 32 = 96). Write 3 in the quotient and subtract 96 from 100, leaving 4.

Step 6: Bring down another 0 to make it 40. Divide 40 by 32, which goes once (1 × 32 = 32). Write 1 in the quotient and subtract 32 from 40, leaving 8.

Step 7: Bring down another 0 to make it 80. Divide 80 by 32, which goes twice (2 × 32 = 64). Write 2 in the quotient and subtract 64 from 80, leaving 16.

Step 8: Bring down the last 0 to make it 160. Divide 160 by 32, which goes five times (5 × 32 = 160). The remainder is now 0, and the division ends.

Thus, the answer for 17/32 as a decimal is 0.53125.

• 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.