3/4 as a Decimal

Answer

3/4 in decimals can be written as 0.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 3/4 in decimal form, we will use the division method. Here, since 3 is smaller than 4, we will take the help of decimal notation, 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 directly; here, we will take the help of decimals. We will add a decimal point in the quotient place and bring down 0 to make 3 as 30.

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, giving 2.

Step 5: Bring down another 0 in the dividend place to make 20, and then repeat the division process. 4 × 5 = 20, giving us a remainder of 0. The division process ends here, and the decimal representation is complete.

The answer for 3/4 as a decimal will be 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.