3 7/20 as a Decimal

Answer

3 7/20 in decimals can be written as 3.35. It is a terminating decimal, meaning the decimal ends and does not repeat indefinitely.

Explanation

To convert 3 7/20 to a decimal, we will first convert the fractional part, 7/20, to a decimal. Here’s the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend, and the denominator (20) will be taken as the divisor.

Step 2: Divide 7 by 20. Since 7 is smaller than 20, we will add a decimal point and a zero to make it 70.

Step 3: Now divide 70 by 20. 20 goes into 70 three times (3 x 20 = 60).

Step 4: Subtract 60 from 70, which gives us 10.

Step 5: Bring down another 0, making it 100.

Step 6: 20 goes into 100 five times (5 x 20 = 100).

Step 7: Subtract 100 from 100, which leaves us with 0, indicating the division is complete. Thus, 7/20 as a decimal is 0.35. Finally, add the whole number part, 3, to the result from the fractional part.

The answer for 3 7/20 as a decimal is 3.35.

• 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.