29/6 as a Decimal

Professor Greenline Explaining Math Concepts

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This is a simple question about decimal conversion. First, we must understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (the number on the top), in this case, 29, which shows how many parts are being considered, and the denominator (the number below), which is 6, indicating how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 29/6 as a decimal?

$29/6 as a decimal$

Answer

29/6 in decimals can be written as 4.8333... It is a recurring decimal, showing that it will repeat the same digit infinitely.

Explanation

To convert 29/6 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 (29) will be taken as the dividend and the denominator (6) will be taken as the divisor.

Step 2: Divide 29 by 6. It goes 4 times, as 6 × 4 = 24. Subtract 24 from 29 to get a remainder of 5.

Step 3: Bring down a 0 to make it 50. Divide 50 by 6, which goes 8 times as 6 × 8 = 48. Subtract 48 from 50 to get a remainder of 2.

Step 4: Bring down another 0 to make it 20. Divide 20 by 6, which goes 3 times as 6 × 3 = 18. Subtract 18 from 20 to get a remainder of 2.

Step 5: Continue the process as described in Step 4, and you will see the decimal repeats. The division process continues, and since we don't get the remainder as 0, this process results in a recurring decimal.

The answer for 29/6 as a decimal is 4.8333...