1 7/9 as a Decimal

Answer

1 7/9 in decimals can be written as 1.77777….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 7/9 in decimal, we will use the division method. First, convert the mixed fraction to an improper fraction: (1 × 9) + 7 = 16/9. Then divide 16 by 9 using the following steps.

Step 1: Identify the numerator and denominator because the numerator (16) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: 16 divided by 9 gives us 1.7777.

Step 3: As 16 is larger than 9, we divide directly to see how many times 9 goes into 16. It is 1 time, with a remainder of 7.

Step 4: Bring down a 0 to make it 70. Divide 70 by 9 to get 7, with a remainder of 7.

Step 5: Bring down another 0, making it 70 again, repeating the process. This process is called a recurring decimal.

The answer for 1 7/9 as a decimal will be 1.7777……

• 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.

• Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.