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.

• Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.

• Decimal: A number expressed in the base ten system, using a decimal point to separate the whole number from the fractional part.

• Numerator: The top part of a fraction, indicating the number of parts being considered.

• Denominator: The bottom part of a fraction, showing the total number of equal parts in the whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.