1/750 as a Decimal

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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, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 750. 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 1/750 as a decimal?

$1/750 as a decimal$

Answer

1/750 in decimals can be written as 0.0013333… It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To get 1/750 in decimal, we will use the division method. Here, as 1 is smaller than 750, we will use the decimal method, which will give us 0.0013333. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (750) will be taken as the divisor.

Step 2: As 1 is smaller than 750, it can't be divided. Here we will use decimals. We will add 0s to the dividend and a decimal point in the quotient place.

Step 3: Now that it is effectively 1000, we can divide it by 750. Let's see how many times 750 fits into 1000.

Step 4: 1000 is not a multiple of 750, so we will look for the nearest number that is 750 × 1 = 750 We will write 1 in the quotient place and subtract 750 from 1000 to get 250.

Step 5: Bring down another 0 in the dividend place, making it 2500, and then repeat the division process. The division process continues; we don’t get the remainder as 0, which indicates a recurring decimal.

The answer for 1/750 as a decimal will be 0.0013333…