31/16 as a Decimal

Answer

31/16 in decimals can be written as 1.9375. It is a terminating decimal, indicating it ends after four decimal places.

Explanation

To convert 31/16 into a decimal, we will use the division method. Here, since 31 is larger than 16, we can directly divide the numbers. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (31) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: Divide 31 by 16. The whole number part of the quotient will be 1 since 16 goes into 31 only once.

Step 3: Subtract 16 from 31, which gives a remainder of 15.

Step 4: Bring down a 0 to make it 150, and continue the division process.

Step 5: 16 goes into 150 nine times (16 × 9 = 144). Subtract 144 from 150 to get a remainder of 6.

Step 6: Bring down another 0 to make it 60, and repeat the division process.

Step 7: 16 goes into 60 three times (16 × 3 = 48). Subtract 48 from 60 to get a remainder of 12.

Step 8: Bring down another 0 to make it 120, and repeat the division process.

Step 9: 16 goes into 120 seven times (16 × 7 = 112). Subtract 112 from 120 to get a remainder of 8.

Step 10: Bring down another 0 to make it 80, and repeat the division process.

Step 11: 16 goes into 80 five times (16 × 5 = 80), leaving no remainder.

The answer for 31/16 as a decimal is 1.9375.

• 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.