Question

Обчисліть 1) 1 1/6 2) 3 3/5-1 7/10 3) 2 5/8*6/7 4) 1 1/3:1 11/15

Answer 1

Відповідь:

1) 1 1/6=6+1/6=7/6

2) 3 3/5-1 7/10=18/5 - 17/10= 19/10 = 1 9/10

3) 2 5/8 * 6/7=21/8 * 6/7= 3/4*3= 9/4 = 2 1/4

4) 1 1/3 : 1 11/15 = 4/3*11/15= 44/45

Answer 2

I can help you with these calculations. Here are the steps and answers:

1) To add 1 and 1/6, you need to find a common denominator for the fractions. The lowest common denominator is 6, so you can write 1 as 6/6. Then, you can add the numerators and keep the denominator. The result is 7/6. You can also write this as a mixed number: 1 1/6.

2) To subtract 3 3/5 and 1 7/10, you need to convert both mixed numbers to improper fractions. To do this, you multiply the whole number by the denominator and add the numerator. For example, 3 3/5 becomes (3 x 5) + 3 / 5 = 18/5. Similarly, 1 7/10 becomes (1 x 10) + 7 / 10 = 17/10. Then, you need to find a common denominator for the fractions. The lowest common denominator is 10, so you can multiply 18/5 by 2/2 to get 36/10. Then, you can subtract the numerators and keep the denominator. The result is 19/10. You can also write this as a mixed number: 1 9/10.

3) To multiply 2 5/8 and 6/7, you need to convert the mixed number to an improper fraction. As before, you multiply the whole number by the denominator and add the numerator. For example, 2 5/8 becomes (2 x 8) + 5 / 8 = 21/8. Then, you multiply the numerators and the denominators of the fractions. The result is 126/56. You can simplify this by dividing both numbers by 14. The simplified result is 9/4. You can also write this as a mixed number: 2 1/4.

4) To divide 1 1/3 by 1 11/15, you need to convert both mixed numbers to improper fractions. As before, you multiply the whole number by the denominator and add the numerator. For example, 1 1/3 becomes (1 x 3) + 1 / 3 = 4/3. Similarly, 1 11/15 becomes (1 x 15) + 11 / 15 = 26/15. Then, you invert the second fraction and multiply it by the first fraction. The result is 4/3 x 15/26 = 60/78. You can simplify this by dividing both numbers by 6. The simplified result is 10/13. You cannot write this as a mixed number because the numerator is smaller than the denominator.

I hope this helps you understand how to work with fractions. If you need more help, you can use some online tools such as [Fractions Calculator](https://www.calculatorsoup.com/calculators/math/fractions.php) or [Mathway](https://www.mathway.com/popular-problems/Algebra).