12 3/5 as a Decimal

Answer

12 3/5 in decimals can be written as 12.6. It is a terminating decimal.

Explanation

To convert 12 3/5 into a decimal, we first need to convert the fractional part 3/5 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (5) will be taken as the divisor.

Step 2: Divide 3 by 5. Since 3 is smaller than 5, we will use a decimal point to proceed.

Step 3: Add a decimal point in the quotient and a zero to the dividend, making it 30.

Step 4: Divide 30 by 5, which is exactly 6. Therefore, 3/5 = 0.6 in decimal form.

Step 5: Combine the whole number part (12) with the decimal part (0.6) to get 12.6.

• 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.

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