Step-by-Step Guide to Convert 6.86 into a Fraction
Converting decimals to fractions can be quite fun! Let’s break it down into simple steps so you can easily understand how to convert the decimal 6.86 into a fraction.
Step 1: Understand the Decimal
The decimal 6.86 consists of two parts: the whole number and the decimal part. Here, the whole number is 6, and the decimal part is 0.86.
Step 2: Convert the Decimal Part into a Fraction
Now, let’s focus on the decimal part, which is 0.86. To convert 0.86 into a fraction, we can follow these steps:
- Count the number of digits after the decimal point. In this case, there are 2 digits (8 and 6).
- Since there are 2 digits, we can write 0.86 as 86/100.
Step 3: Simplify the Fraction
Next, we need to simplify 86/100. This means we try to find the greatest common divisor (GCD) of the two numbers:
- The GCD of 86 and 100 is 2.
Now, divide the numerator and the denominator by their GCD:
- 86 ÷ 2 = 43
- 100 ÷ 2 = 50
So, 0.86 = 43/50.
Step 4: Combine with the Whole Number
Now that we have the fraction for the decimal part, we can combine it with the whole number. Remember, the whole number we started with was 6.
We can write this whole number 6 and the fraction 43/50 together:
- This becomes 6 43/50.
Final Answer
So, the decimal 6.86 can be written as the mixed number 6 43/50. If you need to show it as an improper fraction, you can convert it too!
To make it improper, multiply the whole number by the denominator and add the numerator:
- 6 x 50 + 43 = 300 + 43 = 343
So, as an improper fraction, 6.86 = 343/50.
Conclusion
To recap, we simplified the decimal 6.86 into a fraction and found that it equals 6 43/50 or if needed, 343/50 as an improper fraction. Great job!