7/4 as a Decimal

Answer

7/4 in decimals can be written as 1.75. It is a terminating decimal because it does not repeat infinitely.

Explanation

To convert 7/4 into a decimal, we will use the division method. Here, 7 is the numerator (dividend) and 4 is the denominator (divisor). Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (7) will be the dividend, and the denominator (4) will be the divisor.

Step 2: Divide 7 by 4. Since 7 is greater than 4, we can perform the division directly.

Step 3: 4 goes into 7 once (4 × 1 = 4). Subtract 4 from 7, which leaves a remainder of 3.

Step 4: Bring down a 0 to make it 30. Divide 30 by 4, which gives 7 (4 × 7 = 28). Subtract 28 from 30, leaving a remainder of 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 4, which gives 5 (4 × 5 = 20). Subtract 20 from 20, leaving no remainder.

The answer for 7/4 as a decimal is 1.75.

• 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.