143/333 as a Decimal

Answer

143/333 in decimals can be written as 0.429429429… It is a recurring decimal, showing that it will repeat the same sequence of digits infinitely.

Explanation

To get 143/333 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (143) will be taken as the dividend and the denominator (333) will be taken as the divisor.

Step 2: As 143 is smaller than 333, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making it 1430, and add a decimal point in the quotient place.

Step 3: Now that it is 1430, we can divide it by 333. Let's see how many times 333 fits into 1430.

Step 4: 333 goes into 1430 four times (333 × 4 = 1332). We will write 4 in the quotient place and subtract 1332 from 1430, giving us 98.

Step 5: Bring down another 0 in the dividend place, making it 980, and then repeat the division process.

Step 6: 333 goes into 980 two times (333 × 2 = 666). We will write 2 in the quotient place and subtract 666 from 980, giving us 314.

Step 7: Bring down another 0 in the dividend place, making it 3140, and repeat the division process. The division process continues with the sequence 429 repeating, which is called a recurring decimal.

The answer for 143/333 as a decimal will be 0.429429429…

• 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.
   
• Recurring Decimal: A decimal that repeats a sequence of digits infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Divisor: The number by which another number is divided.