How to Convert 1 1/7 to a Decimal
Converting a mixed number like 1 1/7 to a decimal might seem tricky, but it's actually quite straightforward. Here's a breakdown of the process:
Understanding the Mixed Number
First, let's understand what the mixed number 1 1/7 represents. It's a combination of a whole number (1) and a fraction (1/7).
Converting the Fraction
To convert the fraction 1/7 to a decimal, you simply divide the numerator (1) by the denominator (7):
1 ÷ 7 = 0.142857...
Notice that the decimal representation of 1/7 is a repeating decimal.
Combining the Whole Number and Decimal
Now, add the whole number (1) to the decimal representation of the fraction (0.142857...):
1 + 0.142857... = 1.142857...
Therefore, 1 1/7 as a decimal is 1.142857..., which is a repeating decimal.
Tips for Converting Fractions to Decimals
- Divide the numerator by the denominator. This is the fundamental rule for converting any fraction to a decimal.
- Use a calculator. A calculator can quickly perform the division for you, especially when dealing with fractions that result in long repeating decimals.
- Identify repeating decimals. Be aware that some fractions result in repeating decimals. In these cases, you can indicate the repeating block by placing a bar over it (e.g., 0.142857...).
Conclusion
Converting a mixed number to a decimal involves converting the fractional part into a decimal and adding it to the whole number. In the case of 1 1/7, we find that it's equivalent to 1.142857..., a repeating decimal.