13/32 as a Decimal

Answer

13/32 in decimals can be written as 0.40625. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To get 13/32 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 (13) will be taken as the dividend, and the denominator (32) will be taken as the divisor.

Step 2: Divide 13 by 32. Since 13 is smaller than 32, the result will be less than 1. We will add a decimal point and additional zeros to the dividend.

Step 3: 32 does not go into 13, so we consider 130 (by adding a zero). 32 goes into 130 four times (32 × 4 = 128). Subtract 128 from 130 to get 2.

Step 4: Bring down another 0, making it 20. 32 does not go into 20, so we bring down another 0 to make 200. 32 goes into 200 six times (32 × 6 = 192). Subtract 192 from 200 to get 8.

Step 5: Bring down another 0, making it 80. 32 goes into 80 two times (32 × 2 = 64). Subtract 64 from 80 to get 16.

Step 6: Bring down another 0, making it 160. 32 goes into 160 five times (32 × 5 = 160). Subtract 160 from 160 to get 0. Thus, the division ends, and the answer for 13/32 as a decimal is 0.40625.

• 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.