Two simple examples are cooking and carpentry, at least in the US.
For cooking, suppose you needed to double a recipe that called for 3/4 of a cup of sugar. The new recipe would require 2 x 3/4 = 6/4 cups of sugar so you'd have to convert that to a proper fraction.
For carpentry, suppose you had to fasten a brace at the one-quarter, half, and three-quarter points of a wall opening that's 35½ inches wide. To divide 35½ by 4, you could convert the larger number to an improper fraction: 35 is the same as 70 halves, so adding the extra ½ gives you 71/2. Divide by 4 to get 71/8 and convert back to proper form: 71 ÷ 8 = 8-7/8 inches for the distance between the centers of each brace.
Of course if the US finally gives up ounces and inches in favor of metric units used everywhere else, most of these problems would be waaay simpler: The original recipe would need 175 gm of sugar so doubling would be 350 gm. The wall opening would be 900 mm so one-fourth would be 225 mm.
You use fractions for LOTS of things in the real world like money, gambling, shopping, clothing, etc.
in cookbooks and recipes
because it is easier, faster, and correct.
You use fractions (or some variation, such as decimals) in any situation where whole numbers are not sufficient. For example, when you want to measure the object of a length in meters, and a whole number of meters is not precise enough.
here is how to use fractions in your daily life- 1. cooking 2. money 3. telling the time on a clock
When we simplify fractions.
You use fractions for LOTS of things in the real world like money, gambling, shopping, clothing, etc.
when simplifying fractions
in cookbooks and recipes
In calculating fractions.
Yes, we can. And in most cases, they are easier than using mixed fractions.
no.
because it is easier, faster, and correct.
You are asked to put the fractions on a number line to help you understand fractions. It isn't so much you will use a number line " in real life" but it gives you a visual representation to help you learn. You will use fractions for many things in life. Just do what what you are asked to do by your teacher they have a reason. You are not the only student in the class and others may need a bit extra assignments to help them understand. Go with the flow. Not all things in life will relate to "real life."
To find a volume you usually need to multiply values together. When working with mixed numbers it is usually easier to convert them into improper fractions, do the calculations and convert any resulting improper fraction into a mixed number. So you don't need to use either format, it's just that improper fractions are easier to manipulate.
Convert them to improper fractions.
To convert an improper fraction to a decimal, simply do long division or use a calculator to divide. eg. 15/8 = 1.875