3/48 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), which here is 3, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, which here is 48. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 3/48 as a decimal?

$3/48 as a decimal$

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.