10/16 as a Decimal

Professor Greenline Explaining Math Concepts

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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 a whole. It has two parts, numerator (number on the top) here, 10 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. 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 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 10/16 as a decimal?

$10/16 as a decimal$

Answer

10/16 in decimals can be written as 0.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 10/16 in decimal, we will use the division method. Here, 10 is smaller than 16, so we will take the help of decimal method which will give us 0.625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (10) will be taken as the dividend and denominator (16) will be taken as the divisor.

Step 2: As 10 is smaller than 16, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 10 as 100 and add a decimal point in the quotient place.

Step 3: Now that it is 100, we can divide it by 16. Let's see how many times 16 makes 100.

Step 4: 16 multiplied by 6 is 96, which is the closest to 100 without exceeding it. We will write 6 in the quotient place and subtract 96 from 100, which gives 4.

Step 5: Bring down another 0 in the dividend place to make it 40 and then continue the division process.

Step 6: 16 multiplied by 2 is 32, which is the closest to 40 without exceeding it. We write 2 in the quotient place and subtract 32 from 40, which gives 8.

Step 7: Bring down another 0 to make it 80, 16 multiplied by 5 is 80, which divides perfectly. Hence, the answer for 10/16 as a decimal will be 0.625.