10 2/5 as a Decimal

Answer

10 2/5 as a decimal can be written as 10.4. It is a terminating decimal because it ends after one digit past the decimal point.

Explanation

To convert 10 2/5 into a decimal, we will first convert the fractional part 2/5 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and the denominator. Here, the numerator (2) will be the dividend, and the denominator (5) will be the divisor.

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

Step 3: Now, divide 20 by 5. The result is 4 as 5 × 4 = 20.

Step 4: Since there is no remainder, the division process ends here. Thus, 2/5 as a decimal is 0.4.

Step 5: Combine the whole number part (10) with the decimal obtained from the fraction (0.4) to get 10.4.

The answer for 10 2/5 as a decimal is 10.4.

• 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.

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

• Division: A mathematical operation where a number is divided by another to find the quotient.