10 5/9 as a Decimal

Answer

10 5/9 in decimals can be written as 10.5555….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 10 5/9 in decimal, we will use the division method for the fraction part. Here, 5 is smaller than 9, so we will take help of the decimal method which will give us 0.5555. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (5) will be taken as dividend and denominator (9) will be taken as 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, which will make 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 50.

Step 4: 50 is not a multiple of 9, so we will look for the nearest number that 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 and make 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 recurring decimal.

The answer for 10 5/9 as a decimal will be 10.5555……

• 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 a sequence of digits repeats infinitely.