31/4 as a Decimal

Answer

31/4 as a decimal can be written as 7.75. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 31/4 into a decimal, we will use the division method. Here, since 31 is larger than 4, we can directly use division to find the decimal form.

Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (4) will be the divisor.

Step 2: Divide 31 by 4. 31 divided by 4 gives 7 with a remainder.

Step 3: Multiply 7 by 4 to get 28. Subtract 28 from 31, which leaves a remainder of 3.

Step 4: Bring down a 0 to the remainder to make it 30. Divide 30 by 4 to get 7.5.

Step 5: Multiply 7.5 by 4 to get 30. Subtract 30 from 30, which leaves no remainder. The division process ends here, and we obtain the terminating decimal of 7.75.

The answer for 31/4 as a decimal is 7.75.

• 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.