3 7/8 as a Decimal

Answer

3 7/8 as a decimal can be written as 3.875. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To convert 3 7/8 to a 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 of the fraction. The numerator (7) will be taken as the dividend, and the denominator (8) will be the divisor.

Step 2: Divide 7 by 8 using long division.

Step 3: As 7 is smaller than 8, consider 70 instead (by adding a decimal point and a zero). Divide 70 by 8.

Step 4: 8 goes into 70 eight times, as 8 × 8 = 64. Write 8 in the quotient and subtract 64 from 70, leaving a remainder of 6.

Step 5: Bring down another 0 to make 60. Divide 60 by 8, which goes 7 times (8 × 7 = 56). Write 7 in the quotient.

Step 6: Subtract 56 from 60 to get a remainder of 4. Bring down a 0 to make 40. Divide 40 by 8, which goes 5 times (8 × 5 = 40).

Step 7: Subtract 40 from 40, leaving a remainder of 0, and the division stops here.

Thus, 7/8 as a decimal is 0.875. Combine it with the whole number 3 to get 3.875.

• Mixed Number: A whole number and a fraction combined into one "mixed" number.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.