Question

(3 3/15 + 2 7/20) - 1 2/5

Answer 1

Ответ:

4 3/20

Пошаговое объяснение:

Переводим все числа в неправильные дроби.

48/15 + 47/20 - 7/5

Приводим к общему знаменателю 60.

192/60 + 141/60 - 84/60

Теперь производим обычные действия с числителями.

(192 + 141 - 84)/60 = 249/60

И наконец выделяем целое.

4 9/60 = 4 3/20.

Answer 2

To solve this expression, we'll follow the order of operations: parentheses first, then addition and subtraction from left to right, and finally, any remaining addition or subtraction.

Step 1: Add the fractions within the parentheses: 3 3/15 = 3 + 3/15 = 3 1/5 2 7/20 = 2 + 7/20 = 2 7/20

So, (3 3/15 + 2 7/20) = 3 1/5 + 2 7/20.

Now we need to find a common denominator for the fractions to add them:

The least common multiple (LCM) of 15 and 20 is 60.

Convert the fractions to have a denominator of 60:

3 1/5 = (3 * 5 + 1) / 5 = 16/5 2 7/20 = (2 * 3 + 7) / 20 = 13/20

Now add the fractions:

16/5 + 13/20 = (16 * 4) / (5 * 4) + 13/20 = 64/20 + 13/20 = 77/20.

So, (3 3/15 + 2 7/20) = 77/20.

Step 2: Subtract 1 2/5: 1 2/5 = 1 + 2/5 = 7/5.

Now subtract 7/5 from 77/20:

77/20 - 7/5 = (77 * 5) / (20 * 5) - 28/5 = 385/100 - 28/5.

To subtract these fractions, we need a common denominator, which is 100:

385/100 - 28/5 = 385/100 - (28 * 20) / (5 * 20) = 385/100 - 560/100 = (385 - 560)/100 = -175/100.

Simplify the fraction:

-175/100 = -1.75.

So, the final result is -1.75.