Question

1+ 3 3/7 9-5/6 5-1 4/5

Answer 1

Ответ:

Объяснение:

1+3 3/7=4 3/7

9-5/6=8 6/6-5/6=8 1/6

5-1 4/5=4 5/5 -1 4/5=3 1/5

Answer 2

To evaluate the expression "1 + 3 3/7 - 9 - 5/6 - 5 + 1 4/5", we need to follow the order of operations (also known as PEMDAS or BODMAS).

First, let's simplify the addition and subtraction of the whole numbers:

1 + 3 = 4 9 - 5 = 4 5 - 1 = 4

The expression now becomes: "4 3/7 - 4 - 5/6 + 4 4/5"

Next, we simplify the fractions:

3/7 cannot be simplified further.

To subtract fractions, we need a common denominator. The common denominator for 5/6 and 4 4/5 is 30. Let's convert the fractions to have a denominator of 30:

5/6 = (5/6) * (5/5) = 25/30 4 4/5 = (4 * 5 + 4) / 5 = 24/5 = (24/5) * (6/6) = 144/30

The expression now becomes: "4 3/7 - 4 - 25/30 + 144/30"

Now, let's combine the whole numbers and fractions:

4 3/7 - 4 = (4 * 7 + 3)/7 - 4 = 31/7 - 4 = (31 - 28)/7 = 3/7 -25/30 + 144/30 = (144 - 25)/30 = 119/30

The expression simplifies further to: "3/7 - 4 + 119/30"

To add or subtract fractions, we need a common denominator. The common denominator for 3/7 and 119/30 is 210. Let's convert the fractions to have a denominator of 210:

3/7 = (3/7) * (30/30) = 90/210 119/30 = (119/30) * (7/7) = 833/210

The expression now becomes: "90/210 - 4 + 833/210"

Finally, let's combine the fractions:

90/210 - 4 + 833/210 = (90 - 840 + 833)/210 = 83/210

Therefore, the simplified expression is 83/210.