39/8 as a Decimal

Answer

39/8 as a decimal is 4.875. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 39/8 into a decimal, we use long division. Since the numerator 39 is greater than the denominator 8, we can directly divide. Let's break down the steps:

Step 1: Identify the numerator and denominator. Here, 39 is the dividend, and 8 is the divisor.

Step 2: Divide 39 by 8. The integer part is 4, because 8 fits into 39 four times (8 × 4 = 32).

Step 3: Subtract 32 from 39, yielding a remainder of 7.

Step 4: Bring down a 0 to make the remainder 70, and add a decimal point in the quotient.

Step 5: Divide 70 by 8. The result is 8, since 8 goes into 70 eight times (8 × 8 = 64). Subtract 64 from 70, leaving a remainder of 6.

Step 6: Bring down another 0, making it 60. Divide by 8 to get 7, as 8 goes into 60 seven times (8 × 7 = 56). Subtract 56 from 60, leaving a remainder of 4.

Step 7: Bring down another 0 to make it 40. Divide by 8 to get 5, as 8 goes into 40 five times (8 × 5 = 40).

Step 8: Subtract 40 from 40, leaving no remainder.

So, 39/8 as a decimal is 4.875.

• Fraction: A numerical representation of a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number expressed in the base-ten system, using a decimal point to separate whole numbers from fractional parts.
   
• Numerator: The top number in a fraction, representing the number of parts considered.
   
• Denominator: The bottom number in a fraction, indicating how many parts make up a whole.
   
• Terminating Decimal: A decimal that has a finite number of digits after the decimal point and does not repeat.