25/16 as a Decimal

Answer

25/16 in decimals can be written as 1.5625. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To get 25/16 in decimal, we will use the division method. Here 25 is larger than 16, so we can perform direct division to obtain the decimal. Let's see the step-by-step breakdown of the process:

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

Step 2: Perform the division of 25 by 16. Since 25 is larger than 16, proceed with the division immediately.

Step 3: Divide 25 by 16, which goes 1 time. Write 1 in the quotient place.

Step 4: Subtract 16 from 25, which gives 9.

Step 5: Bring down a 0 to make it 90 and continue the division process.

Step 6: Divide 90 by 16, which goes 5 times. Write 5 in the quotient place and subtract 80 from 90 to get 10.

Step 7: Bring down another 0 to make it 100 and divide by 16, which goes 6 times. Write 6 in the quotient place and subtract 96 from 100 to get 4.

Step 8: Bring down another 0 to make it 40 and divide by 16, which goes 2 times. Write 2 in the quotient place and subtract 32 from 40 to get 8.

Step 9: Bring down another 0 to make it 80 and divide by 16, which goes 5 times. Write 5 in the quotient place and subtract 80 to get a remainder of 0. The division process concludes with no remainder, resulting in a terminating decimal.

The answer for 25/16 as a decimal will be 1.5625.

• 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.