4 7/8 as a Decimal

Answer

4 7/8 in decimals can be written as 4.875. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 4 7/8 in decimal, we will first convert the fraction part 7/8 to 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: Divide 7 by 8 to convert it to a decimal.

Step 3: As 7 is smaller than 8, we will add a decimal point and a zero to make it 70.

Step 4: 8 goes into 70 eight times (8×8=64), so we write 8 in the quotient place. Subtract 64 from 70 to get 6.

Step 5: Bring down another 0 to make it 60. Divide by 8, which goes 7 times (8×7=56). Subtract 56 from 60 to get 4.

Step 6: Bring down another 0 to make it 40. Divide by 8, which goes 5 times (8×5=40). This leaves a remainder of 0, ending the division.

The decimal for 7/8 is 0.875. Now, combine this with the whole number 4 to get the final decimal: 4.875.

• 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.