2 4/7 as a Decimal

Answer

2 4/7 as a decimal is approximately 2.57142857. The decimal representation is non-terminating and repeating.

Explanation

To convert 2 4/7 to a decimal, we first need to convert the fraction 4/7 to a decimal and then add it to the whole number 2. Let's break down the process:

Step 1: Identify the whole number (2) and the fraction (4/7).

Step 2: Convert the fraction 4/7 to a decimal using division. Divide 4 by 7.

Step 3: Since 4 is smaller than 7, we'll use the decimal method. By adding a decimal point and zeroes, we can divide 4.000000 by 7.

Step 4: Perform the division. 7 goes into 40 five times, which gives 35. Subtract 35 from 40, leaving a remainder of 5.

Step 5: Bring down a 0, making it 50. Divide 50 by 7, which goes seven times, giving 49. Subtract to get a remainder of 1.

Step 6: Repeat the process, bringing down zeroes, and you will see the sequence 571428 repeating.

Step 7: Add the decimal 0.57142857... to the whole number 2 to get approximately 2.57142857.

• Fraction: A numerical quantity that represents a part of a whole, with a numerator and a denominator.
   
• Decimal: A number expressed using the base ten, with a decimal point separating the whole part from the fractional part.
   
• Mixed Number: A number that includes both a whole part and a fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts are being considered.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.