3 15/44 as a Decimal

Answer

3 15/44 as a decimal can be written as approximately 3.3409. This is a terminating decimal.

Explanation

To convert 3 15/44 to a decimal, we first convert the fractional part 15/44 to a decimal and then add it to the whole number 3. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 3, and the fraction is 15/44.

Step 2: To convert 15/44 to a decimal, we use division. Divide 15 by 44.

Step 3: Since 15 is smaller than 44, we add a decimal point and a zero to 15, making it 150.

Step 4: Divide 150 by 44. 44 goes into 150 three times, which gives us 132. Subtract 132 from 150 to get 18.

Step 5: Bring down another zero to make it 180. Divide 180 by 44, which goes four times, giving us 176. Subtract 176 from 180 to get 4.

Step 6: Bring down another zero to make it 40. Divide 40 by 44, which goes zero times.

Step 7: Bring down another zero to make it 400. Divide 400 by 44, which goes nine times, giving us 396. Subtract 396 from 400 to get 4.

Step 8: Since the remainder repeats, we stop here, and the decimal is approximately 0.3409.

Finally, add this to the whole number 3 to get 3.3409.

• Mixed Number: A number consisting of a whole number and a fraction.
   
• Fraction: A numerical quantity that represents 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.