1 5/9 as a Decimal

Answer

1 5/9 in decimals can be written as 1.5555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 1 5/9 in decimal, we will first convert the mixed number into an improper fraction. The fraction 1 5/9 is equal to 14/9. We will use the division method to convert this fraction into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (14) will be taken as the dividend and the denominator (9) will be taken as the divisor.

Step 2: Divide 14 by 9. Since 14 is greater than 9, we can divide directly.

Step 3: 9 goes into 14 once, so we write 1 in the whole part of the answer and note down the remainder, which is 5 (since 14 - 9 = 5).

Step 4: Bring down a zero to make the remainder 50. Divide 50 by 9.

Step 5: 9 goes into 50 five times (9 × 5 = 45), so we write 5 next to the decimal in the quotient and continue with a remainder of 5.

Step 6: Bring down another 0 to make it 50 again and repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1 5/9 as a decimal will be 1.5555……

• 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 one or more digits repeat infinitely.