16/25 as a Decimal

Professor Greenline Explaining Math Concepts

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This is a straightforward question about decimal conversion. To begin, it's important to understand fractions and decimals. A fraction represents a part of a whole and consists of two components: the numerator (the number on top), which in this case is 16, indicating how many parts are being considered, and the denominator (the number below), which is 25, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole number, while those to the right represent the fractional part.

What is 16/25 as a decimal?

$16/25 as a decimal$

Answer

16/25 in decimal form can be written as 0.64. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 16/25 into a decimal, we use the division method. Since 16 is smaller than 25, we will use the decimal method to find the result, which will give us 0.64. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (16) will be taken as the dividend, and the denominator (25) will be taken as the divisor.

Step 2: As 16 is smaller than 25, it can't be divided directly, so we use decimals. We add a decimal point in the quotient and a zero to the dividend, making it 160.

Step 3: Now, divide 160 by 25. Determine how many times 25 can fit into 160.

Step 4: 25 goes into 160 a total of 6 times (since 25 × 6 = 150). Write 6 in the quotient and subtract 150 from 160, leaving 10.

Step 5: Bring down another 0 to make the dividend 100 and repeat the division process.

Step 6: 25 goes into 100 a total of 4 times (since 25 × 4 = 100). Write 4 in the quotient. The division process ends as the remainder is 0, indicating a terminating decimal.

The answer for 16/25 as a decimal is 0.64.