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…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Recurring Decimal: A decimal that repeats the same digit or group of digits infinitely.