47/8 as a Decimal

Answer

47/8 in decimals can be written as 5.875. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 47/8 into a decimal, we will use the division method. Here, 47 is larger than 8, so we can directly divide. Let's break down the process step by step:

Step 1: Identify the numerator and denominator. The numerator (47) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 47 by 8. Since 47 is larger than 8, we proceed with the division.

Step 3: 8 fits into 47 five times (since 8 × 5 = 40). We write 5 in the quotient place and subtract 40 from 47, leaving a remainder of 7.

Step 4: Bring down a 0 to make the remainder 70, and divide by 8 again. 8 fits into 70 eight times (since 8 × 8 = 64). Write 8 in the quotient place and subtract 64 from 70, leaving a remainder of 6.

Step 5: Bring down another 0 to make the remainder 60, and divide by 8. 8 fits into 60 seven times (since 8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60, leaving a remainder of 4.

Step 6: Bring down another 0 to make the remainder 40, and divide by 8. 8 fits into 40 exactly five times (since 8 × 5 = 40), leaving no remainder.

The division process ends with no remainder, meaning 47/8 as a decimal is 5.875.

• 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.