11/32 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 11 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 32. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 11/32 as a decimal?

$11/32 as a decimal$

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.