3 /8 as a Decimal

Answer

3/8 in decimals can be written as 0.375. It is a terminating decimal, indicating it ends after a few digits.

Explanation

To get 3/8 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (3) will be taken as the dividend and denominator (8) will be taken as the divisor.

Step 2: Since 3 is smaller than 8, we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30 and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 8. Let's see how many times 8 fits into 30.

Step 4: 8 fits into 30 three times because 3 × 8 = 24. We will write 3 in the quotient place and subtract 24 from 30, which gives 6.

Step 5: Bring down another 0 in the dividend place to make 6 as 60, and then repeat the division process.

Step 6: 8 fits into 60 seven times because 7 × 8 = 56. We will write 7 in the quotient place and subtract 56 from 60, which gives 4.

Step 7: Bring down another 0 in the dividend place to make 4 as 40, and then repeat the division process.

Step 8: 8 fits into 40 five times because 5 × 8 = 40. We will write 5 in the quotient place, and this time the remainder is 0.

The answer for 3/8 as a decimal is 0.375.

• 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.