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102 LearnersLast updated on March 15th, 2025
-1 2/3 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) and denominator (number below). For the fraction 2/3, 2 is the numerator, indicating parts of the whole, and 3 is the denominator, showing how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.
What is -1 2/3 as a decimal?
Answer
-1 2/3 in decimal can be written as -1.6666… It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To convert -1 2/3 into a decimal, we can start by converting the fractional part 2/3 into a decimal. Here's the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. The numerator (2) will be the dividend, and the denominator (3) will be the divisor.
Step 2: As 2 is smaller than 3, it cannot be divided directly. We'll use decimals to aid the division, making 2 as 20 (by adding a decimal point to the quotient).
Step 3: Divide 20 by 3. The closest multiple of 3 to 20 is 18 (3 × 6 = 18). Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.
Step 4: Bring down another 0 to the remainder, making it 20 again, and repeat the division process.
Step 5: The division process continues without the remainder reaching 0, resulting in a recurring decimal. The fractional part 2/3 is 0.6666…
Thus, -1 2/3 as a decimal is -1.6666…
Important Glossaries for -1 2/3 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.
- 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.
- Recurring Decimal: A decimal with digits that repeat infinitely.
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