6 7/16 as a Decimal

Answer

6 7/16 in decimals can be written as 6.4375. It is a terminating decimal, meaning it does not repeat; it ends after four decimal places.

Explanation

To convert 6 7/16 to a decimal, we will first convert the fraction 7/16 to a decimal and then add it to the whole number 6. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part 7/16 that needs conversion to decimal.

Step 2: Perform division of the numerator by the denominator, where 7 is the dividend and 16 is the divisor.

Step 3: Since 7 is smaller than 16, we consider the division with decimal points. We add 0 to the dividend to make it 70 and add a decimal point in the quotient place.

Step 4: Divide 70 by 16. The closest multiple is 16 × 4 = 64. Write 4 in the quotient place and subtract 64 from 70, giving us 6.

Step 5: Bring down another 0, making it 60, and divide by 16. The closest multiple is 16 × 3 = 48. Write 3 in the quotient place and subtract 48 from 60, giving us 12.

Step 6: Bring down another 0, making it 120, and divide by 16. The closest multiple is 16 × 7 = 112. Write 7 in the quotient place and subtract 112 from 120, giving us 8.

Step 7: Bring down another 0, making it 80, and divide by 16. The closest multiple is 16 × 5 = 80. Write 5 in the quotient place. Now, the remainder is 0, so the division ends here.

Thus, 7/16 is 0.4375 in decimal form. Adding this to the whole number 6 gives us 6.4375.

• 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.