11/32 as a Decimal

Answer

11/32 in decimals can be written as 0.34375. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 11/32 in decimal, we will use the division method. Here, as 11 is smaller than 32, we will take the help of the decimal method, which will give us 0.34375. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (11) will be taken as the dividend, and the denominator (32) will be taken as the divisor.

Step 2: As 11 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 11 as 110 and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 32. Let's see how many times 32 makes 110.

Step 4: 32 × 3 = 96, and 32 × 4 = 128. So, the largest multiple of 32 less than 110 is 96. We write 3 in the quotient place and subtract 96 from 110 to get 14.

Step 5: Bring down another 0 in the dividend place to make 140 and then repeat the division process.

Step 6: 32 × 4 = 128. Write 4 in the quotient place and subtract 128 from 140 to get 12.

Step 7: Bring down another 0 to make 120. Repeat the division process.

Step 8: 32 × 3 = 96. Write 3 in the quotient place and subtract 96 from 120 to get 24.

Step 9: Bring down another 0 to make 240 and repeat the division.

Step 10: 32 × 7 = 224. Write 7 in the quotient place and subtract 224 from 240 to get 16.

Step 11: Bring down another 0 to make 160 and repeat the division. Step 12: 32 × 5 = 160. Write 5 in the quotient place. The remainder is now 0, and the division process ends.

The answer for 11/32 as a decimal is 0.34375.

• 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.