22/32 as a Decimal

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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 of the whole. It has two parts: the numerator (number on the top), here 22, which 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 a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 22/32 as a decimal?

$22/32 as a decimal$

Answer

22/32 in decimals can be simplified to 0.6875. It is a terminating decimal, indicating that it ends and does not repeat infinitely.

Explanation

To convert 22/32 to 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 (22) will be taken as the dividend and the denominator (32) will be taken as the divisor.

Step 2: Divide 22 by 32. Since 22 is smaller than 32, the result will be less than 1. We will add a decimal point in the quotient place and proceed with the division.

Step 3: Multiply 32 by 0 to get 0 and subtract from 22 to get 22.

Step 4: Bring down 0 to make it 220. Divide 220 by 32 to get 6, which is 32 × 6 = 192. Write 6 in the quotient place. Subtract 192 from 220 to get 28.

Step 5: Bring down another 0 to make it 280. Divide 280 by 32 to get 8, which is 32 × 8 = 256. Write 8 in the quotient place. Subtract 256 from 280 to get 24.

Step 6: Bring down another 0 to make it 240. Divide 240 by 32 to get 7, which is 32 × 7 = 224. Write 7 in the quotient place. Subtract 224 from 240 to get 16.

Step 7: Bring down another 0 to make it 160. Divide 160 by 32 to get 5, which is 32 × 5 = 160. Write 5 in the quotient place. Subtract 160 from 160 to get 0. The division process ends here as the remainder is 0.

The answer for 22/32 as a decimal is 0.6875.

Important Glossaries for 22/32 as a decimal

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.