1 2/7 as a Decimal

Answer

1 2/7 in decimals can be written as 1.285714... It is a recurring decimal, showing that the fractional part will repeat infinitely.

Explanation

To convert 1 2/7 to a decimal, we first convert the mixed number to an improper fraction. So, 1 2/7 becomes 9/7. Now, we use the division method to convert 9/7 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (9) will be taken as the dividend and the denominator (7) as the divisor.

Step 2: Perform the division. Divide 9 by 7.

Step 3: 9 divided by 7 is 1 with a remainder of 2.

Step 4: Bring down a 0 to make it 20. Divide 20 by 7.

Step 5: 20 divided by 7 is 2 with a remainder of 6.

Step 6: Continue the division process by bringing down another 0 to make it 60 and divide by 7.

Step 7: Repeat the division process. Since the remainder never becomes zero, this is a recurring decimal.

The decimal form of 1 2/7 is 1.285714..., where 285714 repeats infinitely.

• Mixed Number: A number consisting of an integer and a proper fraction.

• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Division: A mathematical operation where one number is divided by another.