49/8 as a Decimal

Answer

49/8 in decimals can be written as 6.125. It is a terminating decimal, meaning it ends without repeating infinitely.

Explanation

To get 49/8 in decimal, we will use the division method. Here, 49 is larger than 8, so we can start dividing directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (49) will be taken as the dividend and the denominator (8) will be taken as the divisor..

Step 2: Divide 49 by 8. 8 goes into 49 six times because 8 × 6 = 48.

Step 3: Write 6 in the quotient place and subtract 48 from 49, which gives a remainder of 1.

Step 4: Bring down a 0 to make 10 and continue the division. 8 goes into 10 once because 8 × 1 = 8.

Step 5: Write 1 in the quotient place after the decimal point, subtract 8 from 10, which gives a remainder of 2.

Step 6: Bring down another 0 to make 20 and divide by 8. 8 goes into 20 twice because 8 × 2 = 16.

Step 7: Write 2 in the quotient place, subtract 16 from 20, which gives a remainder of 4.

Step 8: Bring down another 0 to make 40 and divide by 8. 8 goes into 40 five times because 8 × 5 = 40. The remainder is now 0, and the division process is complete.

The answer for 49/8 as a decimal is 6.125.

• 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.