How to Convert 1.875 to a Fraction?
Converting decimals to fractions can seem tricky, but it's a straightforward process once you understand the steps. Let's break down how to turn 1.875 into its fractional equivalent.
Understanding Decimals and Fractions
Decimals represent parts of a whole number, just like fractions do. The position of the decimal point tells us the place value of each digit:
- 1.875: The '1' is in the ones place, the '8' is in the tenths place, the '7' is in the hundredths place, and the '5' is in the thousandths place.
Steps to Convert 1.875 to a Fraction:
- Count the decimal places: In 1.875, there are three decimal places (the digits after the decimal point).
- Create a fraction with a denominator of 1 followed by the same number of zeroes as the decimal places: Since we have three decimal places, our denominator will be 1000 (1 followed by three zeroes).
- Write the decimal number as the numerator, removing the decimal point: Our numerator will be 1875.
- Simplify the fraction (if possible): The fraction we have now is 1875/1000. We can simplify this by finding the greatest common factor (GCD) of 1875 and 1000, which is 125. Dividing both numerator and denominator by 125, we get: (1875 / 125) / (1000 / 125) = 15/8
Therefore, 1.875 is equivalent to the fraction 15/8.
Tips for Converting Decimals to Fractions:
- Terminating Decimals: Decimals that end, like 1.875, are easily converted to fractions.
- Repeating Decimals: Decimals that repeat (like 0.3333...) require a slightly different approach.
- Simplifying Fractions: Always try to simplify the fraction you get by finding the greatest common factor. This gives you the fraction in its simplest form.
Conclusion
Converting decimals to fractions is a valuable skill in math. By understanding the relationship between decimals and fractions and following the steps outlined above, you can confidently convert any terminating decimal into its fractional representation.