2 1/5 as a Decimal

Answer

2 1/5 in decimals can be written as 2.2.

Explanation

To convert 2 1/5 into a decimal, we first convert the fractional part (1/5) into a decimal. We will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (5) will be taken as the divisor.

Step 2: As 1 is smaller than 5, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 5. Let's see how many times 5 makes 10.

Step 4: 10 is a multiple of 5, exactly 5 × 2 = 10. Step 5: Write 2 in the quotient place, and subtract 10 from 10 gives 0. The division process ends here with no remainder.

Therefore, 1/5 as a decimal is 0.2.

Adding this to the whole number 2 gives us 2.2 as the final decimal representation of 2 1/5.

• 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.
   
• Mixed Number: A number that contains both a whole number and a fractional part.