5/7 as a Decimal

Answer

5/7 in decimals can be written as approximately 0.714285. It is a repeating decimal, showing that the sequence 714285 will repeat infinitely.

Explanation

To convert 5/7 into a decimal, we will use the division method. Since 5 is smaller than 7, we will use the decimal method which provides us with 0.714285.

Let's see a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Since 5 is smaller than 7, it cannot be divided. We will use decimals by adding 0 to the dividend, making it 50, and placing a decimal point in the quotient position.

Step 3: Now that it's 50, we can divide by 7. Let's see how many times 7 fits into 50.

Step 4: 50 is not a multiple of 7, so we look for the nearest number, which is 7 × 7 = 49. We write 7 in the quotient and subtract 49 from 50, which gives 1.

Step 5: Bring down another 0 in the dividend position to make it 10, then repeat the division process. The division process continues, and it does not result in a remainder of 0. This process results in a repeating decimal.

The answer for 5/7 as a decimal is approximately 0.714285...

• 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.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.