3/48 as a Decimal

Answer

3/48 in decimals can be written as 0.0625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3/48 in decimal, we will use the division method. Here, since 3 is smaller than 48, we will use the decimal method, which will give us 0.0625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (48) will be taken as the divisor.

Step 2: As 3 is smaller than 48, it can't be divided, so we will use 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't divide it by 48, so we will bring down another 0, making it 300.

Step 4: 300 divided by 48 gives a nearest quotient of 6 because 48 × 6 = 288. Write 6 in the quotient place and subtract 288 from 300, resulting in 12.

Step 5: Bring down another 0, making it 120. Divide 120 by 48, giving a nearest quotient of 2, as 48 × 2 = 96. Write 2 in the quotient and subtract 96 from 120, resulting in 24.

Step 6: Bring down another 0, making it 240. Divide 240 by 48, giving a quotient of 5, as 48 × 5 = 240. Subtract 240 from 240, getting a remainder of 0. As the remainder is 0, the division process ends, and the answer for 3/48 as a decimal is 0.0625.

• 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.