11 7/8 as a Decimal

Answer:

11 7/8 in decimals can be written as 11.875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation:

To convert 11 7/8 to a decimal, we will first convert the fractional part 7/8 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (7) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 7 by 8. Since 7 is smaller than 8, we will use the decimal method, which will give us 0.875.

Step 3: Perform the division: - 8 goes into 70 eight times (8 × 8 = 64). - Subtract 64 from 70 to get a remainder of 6. - Bring down a 0 to make it 60. - 8 goes into 60 seven times (8 × 7 = 56). - Subtract 56 from 60 to get a remainder of 4. - Bring down a 0 to make it 40. - 8 goes into 40 five times (8 × 5 = 40), with no remainder.

Step 4: Combine the whole number part with the decimal result: 11 + 0.875 = 11.875.

Therefore, the answer for 11 7/8 as a decimal is 11.875.

• 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.