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What is 2/3 as a Decimal (simple approximation)?
Grade Level:
Class 3
All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry
Definition
What is it?
When we say '2/3 as a Decimal', we are converting a fraction into a decimal number. It means dividing the top number (numerator) by the bottom number (denominator). For 2/3, it's like sharing 2 items equally among 3 people.
Simple Example
Quick Example
Imagine you have 2 big ladoos and you want to share them equally among your 3 friends. Each friend will get a part of a ladoo. If you cut each ladoo into 3 equal pieces, then each friend gets 2 of those small pieces. As a decimal, this would be approximately 0.67 of a ladoo for each friend.
Worked Example
Step-by-Step
Let's find 2/3 as a decimal:
1. Understand the fraction: 2/3 means 2 divided by 3.
---2. Set up the division: We need to divide 2 by 3. Since 2 is smaller than 3, we add a decimal point and a zero to 2, making it 2.0.
---3. Perform the division: How many times does 3 go into 20? It goes 6 times (3 x 6 = 18).
---4. Write down the quotient: So, we write '0.' then '6'. We have a remainder of 2 (20 - 18 = 2).
---5. Add another zero: Bring down another zero to the remainder, making it 20 again.
---6. Repeat the division: How many times does 3 go into 20 again? It's 6 times, with a remainder of 2.
---7. Approximate: This '6' will repeat forever (0.6666...). For a simple approximation, we usually round to two decimal places. Look at the third decimal place. If it's 5 or more, round up the second decimal place.
---8. Final Answer: Since the third '6' is 5 or more, we round up the second '6' to '7'. So, 2/3 as a decimal (simple approximation) is 0.67.
Why It Matters
Understanding fractions as decimals is super important in many fields. Engineers use it to measure parts precisely, and people working in finance use it to calculate interest or discounts. Even data scientists use decimals to represent probabilities and percentages, helping them make sense of large amounts of information.
Common Mistakes
MISTAKE: Dividing 3 by 2 instead of 2 by 3. | CORRECTION: Always divide the numerator (top number) by the denominator (bottom number). 2/3 is 2 divided by 3.
MISTAKE: Not adding a decimal point and zero when the numerator is smaller than the denominator. | CORRECTION: If the top number is smaller, start by writing '0.' in the quotient and add a zero to the numerator before dividing.
MISTAKE: Not rounding correctly. For 0.666..., some students might just cut it off at 0.66. | CORRECTION: To round to two decimal places, look at the third decimal place. If it's 5 or more, round up the second decimal place. If it's less than 5, keep the second decimal place as it is.
Practice Questions
Try It Yourself
QUESTION: What is 1/3 as a decimal, rounded to two decimal places? | ANSWER: 0.33
QUESTION: A cricket player scored 2 runs from 3 balls. What fraction of a run did he score per ball, expressed as a decimal (two decimal places)? | ANSWER: 0.67 runs per ball
QUESTION: Your mom bought a 5 kg bag of rice. She used 2/3 of it for dinner. How many kilograms of rice did she use, expressed as a decimal rounded to two decimal places? (Hint: First find 2/3 of 5, then convert to decimal.) | ANSWER: 3.33 kg
MCQ
Quick Quiz
Which of these is the correct simple approximation of 2/3 as a decimal?
0.23
0.66
0.67
0.76
The Correct Answer Is:
C
When 2 is divided by 3, the result is 0.6666... To round to two decimal places, we look at the third '6' and round up the second '6' to '7', making it 0.67.
Real World Connection
In the Real World
When you are shopping online for clothes or gadgets during a sale, sometimes discounts are given as fractions, like '2/3 off'. To quickly understand how much you save, you convert that fraction to a decimal (0.67). This helps you compare it with other percentage discounts (like 50% off) to see which deal is better. It's like using mental math for smart shopping!
Key Vocabulary
Key Terms
FRACTION: A part of a whole, written as numerator/denominator | DECIMAL: A number that uses a decimal point to show parts of a whole | NUMERATOR: The top number in a fraction, showing how many parts you have | DENOMINATOR: The bottom number in a fraction, showing how many equal parts the whole is divided into | APPROXIMATION: A value that is close to the correct value, but not exactly precise
What's Next
What to Learn Next
Great job learning about converting fractions to decimals! Next, you can explore 'Converting Decimals to Fractions' and 'Comparing Fractions and Decimals'. These will help you master how to switch between these number forms and understand their values even better.
