3/4 inch as a Decimal

Answer

3/4 in decimals can be written as 0.75. It is a terminating decimal, meaning it ends after a finite number of digits.

Explanation

To get 3/4 in decimal, we will use the division method. Here, as 3 is smaller than 4, we will take the help of the decimal method, which will give us 0.75. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: As 3 is smaller than 4, it can't be divided, so we will take the help of decimals. We will add 0 to the dividend, making 3 as 30 and adding a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 4. Let's see how many times 4 makes 30.

Step 4: 30 is not a multiple of 4, so we will look for the nearest number that is 4 × 7 = 28. We will write 7 in the quotient place and subtract 28 from 30 to get 2.

Step 5: Bring down another 0 in the dividend place and make 2 as 20, then repeat the division process. 4 goes into 20 exactly 5 times, so we add 5 to the quotient. This process gives a remainder of 0, indicating a terminating decimal.

The answer for 3/4 as a decimal is 0.75.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.