61/16 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 of the whole. It has two parts: the numerator (number on the top), here 61, 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 point 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 61/16 as a decimal?

$61/16 as a decimal$

Answer

61/16 in decimals can be written as 3.8125. This is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 61/16 into a 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 (61) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Divide 61 by 16.

Step 3: 16 goes into 61 three times because 16 × 3 = 48. Write 3 in the quotient place and subtract 48 from 61, which gives 13.

Step 4: Bring down a 0, making it 130. Determine how many times 16 goes into 130, which is 8 times because 16 × 8 = 128. Write 8 in the quotient place and subtract 128 from 130, which gives 2.

Step 5: Bring down another 0, making it 20. Determine how many times 16 goes into 20, which is 1 time because 16 × 1 = 16. Write 1 in the quotient place and subtract 16 from 20, which gives 4.

Step 6: Bring down another 0, making it 40. Determine how many times 16 goes into 40, which is 2 times because 16 × 2 = 32. Write 2 in the quotient place and subtract 32 from 40, which gives 8.

Step 7: Since we have a remainder, the division would continue, but as we bring down another 0, we find that 16 goes into 80 exactly 5 times. Thus, the division ends with no remainder.

The answer for 61/16 as a decimal will be 3.8125.