45/16 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 understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), here 45, which represents how many parts we have out of the whole, and the denominator (the number below), here 16, which shows how many parts make up the whole. 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, while those to the right represent the fractional part.

What is 45/16 as a decimal?

$45/16 as a decimal$

Answer

45/16 in decimals can be written as 2.8125. It is a terminating decimal, meaning it ends after a certain number of digits.

Explanation

To get 45/16 in decimal, we will use the division method. Here, 45 is divided by 16. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (45) will be taken as the dividend and the denominator (16) will be the divisor.

Step 2: Divide the numerator by the denominator. 45 divided by 16 gives 2 as the whole number in the quotient.

Step 3: Subtract 32 (16 × 2) from 45, which leaves a remainder of 13.

Step 4: Bring down a 0 to make it 130, and divide 130 by 16, giving 8 in the quotient.

Step 5: Subtract 128 (16 × 8) from 130, leaving a remainder of 2.

Step 6: Bring down another 0 to make it 20, and divide by 16, giving 1 in the quotient.

Step 7: Subtract 16 from 20, leaving a remainder of 4.

Step 8: Bring down a final 0 to make it 40, and divide by 16, giving 2 in the quotient.

Step 9: Subtract 32 from 40, leaving a remainder of 8. Step 10: Finally, bring down another 0 to make it 80, and divide by 16, giving 5 in the quotient with no remainder.

The answer for 45/16 as a decimal will be 2.8125.