33/24 as a Decimal

Answer

33/24 as a decimal is 1.375. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 33/24 into a decimal, we use the division method. Since 33 is larger than 24, we don't need to immediately use a decimal point. Let's break down the process step by step:

Step 1: Identify the numerator and denominator. The numerator (33) is the dividend, and the denominator (24) is the divisor.

Step 2: Divide 33 by 24 directly. 24 goes into 33 one time. Write 1 in the quotient place.

Step 3: Subtract 24 from 33 to get a remainder of 9.

Step 4: Bring down a 0 to make it 90 and place a decimal point in the quotient.

Step 5: 24 goes into 90 three times (3 × 24 = 72). Write 3 in the quotient place. Subtract 72 from 90 to get 18.

Step 6: Bring down another 0 to make it 180.

Step 7: 24 goes into 180 seven times (7 × 24 = 168). Write 7 in the quotient place. Subtract 168 from 180 to get 12.

Step 8: Bring down another 0 to make it 120.

Step 9: 24 goes into 120 five times (5 × 24 = 120), leaving no remainder.

Thus, 33/24 as a decimal is 1.375.

• Fraction: A numerical representation of a part of a whole.
   
• Decimal: A numerical system using a decimal point to indicate a fraction.
   
• Numerator: The top number in a fraction, showing the parts being considered.
   
• Denominator: The bottom number in a fraction, showing the parts that make up a whole.
   
• Terminating Decimal: A decimal number that has a finite number of digits after the decimal point.