1/75 as a Decimal

Answer:

1/75 in decimals can be written as 0.013333… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation:

To get 1/75 in decimal, we will use the division method. Here, as 1 is smaller than 75, we will take the help of the decimal method, which will give us 0.013333… 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 (75) will be taken as the divisor.

Step 2: As 1 is smaller than 75, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it by 75. So, we will add another 0 to make it 100.

Step 4: 100 is not a multiple of 75, so we will look for the nearest number that 75 can multiply into, which is 75 × 1 = 75. We will write 1 in the quotient place and subtract 75 from 100, giving us 25.

Step 5: Bring down another 0 in the dividend place to make it 250 and then repeat the division process.

Step 6: 250 divided by 75 gives 3 with a remainder, and this process continues as a recurring decimal.

The answer for 1/75 as a decimal will be 0.013333…

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

• Decimal: A number that uses the 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 in which one or more digits repeat infinitely.