2 5/9 as a Decimal

Answer:

2 5/9 in decimals can be written as 2.5555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation:

To convert 2 5/9 to a decimal, we separate the whole number and the fractional part. The whole number is 2. Now, let's convert 5/9 to a decimal using the division method. Here is the 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 (9) will be taken as the divisor.

Step 2: As 5 is smaller than 9, it can't be divided; here, we will take the help of decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 9. Let's see how many times 9 makes up 50.

Step 4: 50 is not a multiple of 9, but the nearest number is 9 × 5 = 45. We will write 5 in the quotient place and subtract 45 from 50, which gives 5.

Step 5: Bring down another 0 in the dividend place, making 5 as 50, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Therefore, the answer for 2 5/9 as a decimal will be 2.5555……

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

• 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.

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

• Division Method: A mathematical process used to convert fractions to decimals by dividing the numerator by the denominator.