1 4/6 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 (the number on the top) here, 1 4/6 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole; here, it is 6. 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 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 1 4/6 as a decimal?

$1 4/6 as a decimal$

Answer

1 4/6 in decimals can be written as 1.66666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 1 4/6 into a decimal, we will first convert the fraction 4/6 into a decimal. Here, 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 (4) will be taken as the dividend and the denominator (6) will be the divisor.

Step 2: As 4 is smaller than 6, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, making it 40, and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 6. Let's see how many times 6 fits into 40.

Step 4: 40 is not a perfect multiple of 6, so we will look for the nearest number. 6 × 6 = 36. Write 6 in the quotient place and subtract 36 from 40, giving 4.

Step 5: Bring down another 0 in the dividend place, making it 40 again, and then repeat the division process. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal. Finally, add the integer part (1) to get the complete decimal: 1.6666…