6 2/5 as a Decimal

Answer

6 2/5 in decimals can be written as 6.4. It is a terminating decimal, meaning it does not repeat.

Explanation

To get 6 2/5 in decimal, we will first convert the fraction part 2/5 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (5) will be the divisor.

Step 2: Divide 2 by 5. Since 2 is smaller than 5, we will use the decimal method. We add a decimal point and a zero to the dividend, making it 20.

Step 3: Now that it is 20, we can divide it by 5. 5 goes into 20 exactly 4 times.

Step 4: Place 4 in the quotient position. The result is 0.4 since the division ends here.

Step 5: Combine the whole number 6 with the decimal 0.4 to get 6.4.

• Mixed Number: A number consisting of an integer and a fraction, like 6 2/5.

• 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.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.

• Division: The process of determining how many times one number is contained within another.