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102 LearnersLast updated on March 13th, 2025
143/333 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top), here 143 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 333. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 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…
Important Glossaries for 143/333 as a 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.
- 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.
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