14/35 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 from the whole. It has two parts: the numerator (the number on the top), here 14, represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 35. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 14/35 as a decimal?

$14/35 as a decimal$

Answer

14/35 in decimals can be written as 0.4. It is a terminating decimal, showing it does not repeat infinitely.

Explanation

To get 14/35 in decimal, we will use the division method. Here, as 14 is smaller than 35, we will perform the division directly, which will give us 0.4. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (35) will be taken as the divisor.

Step 2: Perform the division: 14 divided by 35. As 14 is smaller than 35, we place a decimal point in the quotient and add a zero to the dividend, making it 140.

Step 3: Now that it is 140, we divide it by 35. Let's see how many times 35 goes into 140.

Step 4: 35 multiplied by 4 equals 140. We will write 4 in the quotient place.

Step 5: Subtract 140 from 140 gives 0. The remainder is 0, indicating the division ends here. This process shows that 14/35 as a decimal is 0.4, which is a terminating decimal.