2 7/8 as a Decimal

Answer

2 7/8 in decimals can be written as 2.875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 2 7/8 in decimal, we will first convert the fractional part 7/8 into a decimal. Let's see the step-by-step breakdown of the process:

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

Step 2: As 7 is smaller than 8, we will use the decimal method. We will add 0 to the dividend, making it 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 8. Let's see how many times 8 makes 70.

Step 4: 8 goes into 70 eight times because 8 × 8 = 64. Write 8 in the quotient place and subtract 64 from 70, resulting in 6.

Step 5: Bring down another 0 to make it 60, then divide by 8. The result is 7, since 8 × 7 = 56. Subtract 56 from 60 to get 4.

Step 6: Bring down another 0 to make it 40, then divide by 8. The result is 5, since 8 × 5 = 40. Subtract 40 from 40 to get 0. The process results in the decimal 0.875 for the fractional part.

Adding the whole number 2 gives us a final result of 2.875.

• 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.