15/16 as a Decimal

Answer

15/16 in decimals can be written as 0.9375. It is a terminating decimal, showing it does not repeat infinitely.

Explanation

To get 15/16 in decimal, we will use the division method. Here, as 15 is smaller than 16, we will take help of the decimal method, which will give us 0.9375.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: As 15 is smaller than 16, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, which will make 15 into 150 and add a decimal point in the quotient place.

Step 3: Now that it is 150, we can divide it by 16. Let's see how many times 16 makes 150.

Step 4: 150 is not a multiple of 16, so we will look for the nearest number that is 16 × 9 = 144. We will write 9 in the quotient place and subtract 144 from 150, which gives 6.

Step 5: Bring down another 0 in the dividend place to make it 60, and then repeat the division process.

Step 6: 16 × 3 = 48; subtract 48 from 60 to get 12. Bring down another 0 to make it 120.

Step 7: 16 × 7 = 112; subtract 112 from 120 to get 8. Bring down another 0 to make it 80.

Step 8: 16 × 5 = 80; subtract 80 from 80 to get 0. The division process terminates, and we get the remainder as 0.

The answer for 15/16 as a decimal is 0.9375.

• 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.