Question

1/5+3/8-2/9 1/4×5/12-1/9 2 целых7/17 + 4 целых 6/17a)

Answer 1

1/5+3/8-2/9=8/40+15/40-2/9=23/40-2/9=127/360

Answer 2

To solve the given expressions, let's break them down step by step:

1. 1/5 + 3/8 - 2/9:

To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 360 (which is the least common multiple of 5, 8, and 9). We can convert each fraction to have a denominator of 360:

(1/5) * (72/72) + (3/8) * (45/45) - (2/9) * (40/40)

= 72/360 + 135/360 - 80/360

Now, we can add or subtract the numerators:

= (72 + 135 - 80)/360

= 127/360

Therefore, 1/5 + 3/8 - 2/9 = 127/360.

2. 1/4 × 5/12 - 1/9:

To multiply fractions, we simply multiply the numerators and multiply the denominators:

(1/4) * (5/12) - (1/9)

= (1 * 5) / (4 * 12) - (1/9)

= 5/48 - 1/9

To subtract fractions, we need a common denominator. In this case, the common denominator is 48. We can convert each fraction to have a denominator of 48:

(5/48) * (4/4) - (1/9) * (48/48)

= 20/192 - 48/432

Now, we can subtract the numerators:

= (20 - 48)/192

= -28/192

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 4):

= -7/48

Therefore, 1/4 × 5/12 - 1/9 = -7/48.

3. 2 целых 7/17 + 4 целых 6/17:

To add mixed numbers, we first add the whole numbers together and then add the fractions separately. Let's add the whole numbers:

2 целых + 4 целых = 6 целых

Now let's add the fractions:

7/17 + 6/17 = 13/17

Therefore, 2 целых 7/17 + 4 целых 6/17 = 6 целых 13/17.