6 15/16 as a Decimal

Answer

6 15/16 in decimals can be written as 6.9375. It is a terminating decimal, meaning it ends after a finite number of decimal places.

Explanation

To convert 6 15/16 to a decimal, we will first convert the fraction 15/16 to a decimal.

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: Perform the division 15 ÷ 16. Since 15 is smaller than 16, the result will be less than 1, and we will use the decimal method.

Step 3: Add a decimal point and zero to the dividend, making it 150, and begin the division.

Step 4: 16 goes into 150 nine times (16 × 9 = 144). Write 9 in the quotient, and subtract 144 from 150, leaving a remainder of 6.

Step 5: Bring down another 0, making it 60. Divide 60 by 16, which goes 3 times (16 × 3 = 48). Write 3 in the quotient and subtract 48 from 60, leaving a remainder of 12.

Step 6: Bring down another 0, making it 120. Divide 120 by 16, which goes 7 times (16 × 7 = 112). Write 7 in the quotient and subtract 112 from 120, leaving a remainder of 8.

Step 7: Bring down another 0, making it 80. Divide 80 by 16, which goes 5 times (16 × 5 = 80). Write 5 in the quotient, and the remainder is 0, ending the division process. The fraction 15/16 as a decimal is 0.9375.

Step 8: Add this to the whole number 6 to get the final decimal: 6 + 0.9375 = 6.9375.

The answer for 6 15/16 as a decimal is 6.9375.

• Mixed Number: A number consisting of a whole number and a fraction.

• 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.