Comparing decimals and fractions means deciding which number is greater, smaller, or if they are equal. We use comparison signs (<, >, =) to show the relationship between them.
Always compare numbers that are written in the same form. You can change a fraction into a decimal or a decimal into a fraction before comparing.
To compare a decimal with a fraction, you can convert one to match the other. Most students find it easier to change the fraction into a decimal.
When a decimal repeats (like 0.333… or 0.666…), it keeps going forever. Use rounding to help compare values more easily.
After both numbers are in the same form, compare their place values starting from the leftmost digit.
Remember that a number with more digits does not always mean it is larger. The value of each digit depends on its place.
A mixed number has a whole number and a fraction part. To compare it with a decimal, change both to decimals or both to improper fractions.
Always compare the whole number parts first. If they are the same, then compare the fractional or decimal parts.
Use estimation and reasoning to check your comparison. Visual models, like number lines or fraction bars, can also help you see which number is greater.
The goal is to understand why one number is greater or smaller, not just to memorize which symbol to use.