Even the professor stumbled, explaining aloud the solution of the example, see if you can

Solve an example with fractions Any middle school student should be able to. However, not every diligent student is given mathematics without problems. Therefore, even solid good guys can have problems with such tasks. And then, even in adulthood, operations with fractions will seem like a dense forest.

Editorial "Site" He offers to test his knowledge and solve a couple of examples with fractions. Each next task will be more difficult. Will you be able to cope without mistakes? And also offer to solve it to friends of schoolchildren who claim that they do well in school. Let's see how well-deserved their five are.



Solve an example with fractions

1. In the first task, there's a decimal fraction that's hidden in the very center of our example. How do you deal with it? Try to remember how to multiply by decimal fraction and what mathematical rules you still need to take into account when deciding.
   
   
   
   
2. In the second example, you will have to divide by decimal fraction. This is a slightly more difficult problem, because here you will not be able to guess the correct answer. It is necessary to remember the instructions of a good school teacher. Only then will a solution be found. 953168
   
   
   
   
3. The last example, as we warned, is the most difficult one in our article today. Rumor has it that even a professor may stumble here, who will try to explain the decision out loud. So do not be frivolous and decide carefully.
   
   
   
   

Tips and solutions

1. First of all, you need to perform multiplication, so first we deal with our decimal fraction. And then 30 – 10 × 0.5 – 5 = 30 – 5 – 5 = 20. Pretty easy, but it's just a warm-up!
   
   
   
   
2. You may have seen this example in preview. Here we need to remember that dividing by 0.25 (one fourth) is like multiplying by an inverted fraction (in our case 4). Then 8 - 4 × 4 + 4 = 8 - 16 + 4 = - 8 + 4 = - 4.
3. Dividing by 0.75 (three-fourths) is like multiplying by an inverted fraction (four-thirds). Then 12 ÷ 0.75 = 12 ÷ 3 × 4 = 16. Therefore, the whole example will be as follows: 18 – 16 – 1 = 1.
   
   
   
   

Did it work out? Then try to find answers to our other fascinating problems. And also try to disassemble school examples with a trick. Don’t forget to share your answers in the comments.