14/25 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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, numerator (number on the top) here, 14 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. 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 14/25 as a decimal?

$14/25 as a decimal$

Answer

14/25 in decimals can be written as 0.56. It is a terminating decimal, meaning it does not repeat and ends after a finite number of digits.

Explanation

To get 14/25 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 the numerator (14) will be taken as the dividend, and the denominator (25) will be taken as the divisor.

Step 2: Since 14 is smaller than 25, we will use decimals to perform the division. We add a decimal point in the quotient and a zero to the right of 14, making it 140.

Step 3: Now that it is 140, we can divide it by 25. Let's see how many times 25 fits into 140.

Step 4: 25 goes into 140 five times because 25 × 5 = 125. We write 5 in the quotient place and subtract 125 from 140, which gives us 15.

Step 5: Bring down another 0 in the dividend place, making it 150, and repeat the division process.

Step 6: 25 goes into 150 six times because 25 × 6 = 150. We write 6 in the quotient, and the remainder is 0, indicating the division process ends.

The answer for 14/25 as a decimal is 0.56.