3/40 as a Decimal

Answer

3/40 in decimals can be written as 0.075. It is a terminating decimal, which means it ends without repeating.

Explanation

To convert 3/40 to a decimal, we use the division method. Here, 3 is smaller than 40, so we will use the decimal method to calculate it step by step.

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: Since 3 is smaller than 40, it can't be divided directly, so we will add a decimal point and zeros to the dividend to make it divisible.

Step 3: Treat 3 as 30 by adding a decimal point and zero, and divide by 40. Since 30 cannot be divided by 40, add another zero to make it 300.

Step 4: Divide 300 by 40, and you get 7 as the quotient. 7 times 40 is 280. Subtract 280 from 300 to get 20.

Step 5: Bring down another 0 to make it 200, then divide by 40 to get 5. 5 times 40 is 200, which leaves a remainder of 0. The division process ends here, as we have a remainder of 0, making 0.075 a terminating decimal.

• 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.