Convert 5/6 To Decimal In 3 Easy Steps

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Converting fractions to decimals can be a straightforward process. Here's how to convert 5/6 to a decimal in three easy steps.

Understanding Fractions and Decimals

Fractions and decimals are two ways to represent numbers that are not whole. A fraction is a way of expressing a part of a whole as a ratio of two numbers, while a decimal is a way of expressing a number using a point (.) to separate the whole part from the fractional part. Converting fractions to decimals is a useful skill to have, especially in everyday calculations and problem-solving.

Step 1: Divide the Numerator by the Denominator

To convert 5/6 to a decimal, we need to divide the numerator (5) by the denominator (6). This is the first step in converting a fraction to a decimal. Using a calculator or performing long division, we can calculate the quotient of 5 divided by 6.

Long Division Method

For those who prefer to use long division, here's how to do it:

• Write the dividend (5) and the divisor (6) in the long division format.
• Divide 5 by 6, and write the quotient and remainder.
• Since the remainder is not zero, we need to add a decimal point and a zero after the dividend.
• Bring down the zero and continue dividing until we get a zero remainder or a repeating pattern.

Step 2: Write the Quotient as a Decimal

Once we have the quotient, we can write it as a decimal. The quotient of 5 divided by 6 is 0.8333. Since the decimal part is repeating (0.8333...), we can round it to a certain number of decimal places or leave it as a repeating decimal.

Rounding Decimals

Rounding decimals is an essential skill in mathematics and real-life applications. To round a decimal, we look at the digit immediately to the right of the desired decimal place. If it's less than 5, we round down; if it's 5 or greater, we round up.

• Rounding 0.8333 to two decimal places gives us 0.83.
• Rounding 0.8333 to three decimal places gives us 0.833.

Step 3: Check the Answer

Finally, we need to check our answer to ensure it's correct. We can do this by converting the decimal back to a fraction or by plugging it into the original problem.

• Converting 0.8333 back to a fraction gives us 5/6.
• Plugging 0.8333 into the original problem gives us the same result as the original fraction.

And that's it! We've successfully converted 5/6 to a decimal in three easy steps.

Conclusion

Converting fractions to decimals is a simple process that requires division and rounding. By following these three easy steps, we can convert any fraction to a decimal and vice versa. Whether you're solving math problems or working with real-life applications, converting fractions to decimals is an essential skill to have.