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Last updated on March 3rd, 2025
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, numerator (number on the top) here, 13 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 20. A decimal is a way to represent the 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.
13/20 in decimals can be written as 0.65. It is a terminating decimal, indicating it ends after a certain number of digits.
To convert 13/20 into a decimal, we use the division method. Here, as 13 is smaller than 20, we will use the decimal method to calculate it. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (20) will be taken as the divisor.
Step 2: As 13 is smaller than 20, we can't divide directly, so we will use decimals. We will add 0 to the dividend, which makes 13 as 130 and add a decimal point in the quotient place.
Step 3: Now that it is 130, we can divide it by 20. Let's see how many times 20 fits into 130.
Step 4: 20 × 6 = 120, which is the closest multiple of 20 under 130. We will write 6 in the quotient place and subtract 120 from 130, giving us 10.
Step 5: Bring down another 0 in the dividend place, making it 100, and divide again by 20.
Step 6: 20 × 5 = 100, so add 5 in the quotient place. Now the remainder is 0, finishing the division process.
The answer for 13/20 as a decimal is 0.65.