Question

Тракторист вспахал в первый час одну восьмую часть поля ,во второй час-три шестнадцатую,в третий - одна четвёртая часть поля.Какую часть поля осталось вспахать после трёх часов работы?

Answer 1

1 час - ⅛
2 час - 3/16
3 час - ¼
Осталось -?
1) Найти общий знаменатель:
⅛ + 3/16 + ¼
2/16+3/16+4/16=9/16
16/16-9/16=7/16
Ответ: осталось вспахать 7/16 поля.
P.s. 16/16 - всё поле.

Answer 2

Calculation of Remaining Plowed Area

To calculate the remaining plowed area after three hours of work, we need to determine the fraction of the field that was plowed in each hour and subtract it from the total area.

According to the information provided, the tractor driver plowed one-eighth of the field in the first hour, three-sixteenths in the second hour, and one-fourth in the third hour.

To find the remaining plowed area, we need to subtract the sum of these fractions from the total area of the field.

Let's calculate it step by step:

1. Calculate the sum of the fractions plowed in each hour: - One-eighth + Three-sixteenths + One-fourth

To add fractions with different denominators, we need to find a common denominator. In this case, the least common denominator (LCD) is 48.

2. Convert the fractions to have a denominator of 48: - One-eighth = 6/48 - Three-sixteenths = 9/48 - One-fourth = 12/48

3. Add the fractions: - 6/48 + 9/48 + 12/48 = 27/48

4. Subtract the sum of the fractions from 1 (the whole field): - 1 - 27/48 = 21/48

Therefore, after three hours of work, 21/48 of the field remains to be plowed.

Please note that the sources provided did not contain specific information related to this question. The calculation was done based on the given fractions and mathematical principles.