Question

4 5/9 + (–3 7/15) – (–2 3/5).

Answer 1

4 5/9 + (- 3 7/15) - (-2 3/5) = 4 5/9 + (-3 7/15) + 13/5(•3, это пишется над дробью) = 4 5/9 + (-3 7/15) + 39/15 = 4 5/9 + (-52/15) + 39/15 = 4 5/9 + (-13/15) = 41/9(•5, над дробью) + (-13/15)(•3, над дробью)= 205/45 + (-39/45) = 166/45 = 3 31/45

Answer 2

4 5/9 + (-3 7/15) - (-2 3/5) = 3 31/45

1) 4 5/9 - 3 7/15 = 4 25/45 - 3 21/45 = 1 4/45

2) 1 4/45 - (-2 3/5) =
= 1 4/45 + 2 27/45 = 3 31/45

Answer 3

To perform this addition and subtraction with mixed numbers, you can follow these steps:

Step 1: Add and subtract the whole numbers separately. 4 + (-3) - (-2) = 4 - 3 + 2 = 1 + 2 = 3

Step 2: Add and subtract the fractions separately. 5/9 - 7/15 + 3/5

First, find a common denominator for these fractions, which is 45. Then, rewrite the fractions with this common denominator:

(5/9) = (5/9) * (5/5) = 25/45 (7/15) = (7/15) * (3/3) = 21/45 (3/5) = (3/5) * (9/9) = 27/45

Now, you can add and subtract the fractions:

25/45 - 21/45 + 27/45 = (25 - 21 + 27)/45 = 31/45

Step 3: Combine the whole number result from step 1 with the fraction result from step 2:

3 + 31/45

So, 4 5/9 + (-3 7/15) - (-2 3/5) = 3 31/45.