Question

1)3/5×4/9 2)4/15÷3/5 3)¹2/3÷5/8 4)¹1/5÷6/7-7/10

Answer 1

Пошаговое объяснение:

1) 4/45; 2) 4/15 * 5/3 = 4/9; 3) 2/3 * 8/5 = 16/15 = 1 1/15; 4) 1/5 * 7/6 - 7/10 = 7/30 - 7/10 = 7/30 - 21/30 = -14/10;

Answer 2

Let's solve the given mathematical expressions step by step:

1. 3/5 × 4/9: To multiply fractions, you multiply the numerators together and the denominators together. So, we have: (3 × 4) / (5 × 9) = 12/45 However, we can simplify this fraction further. Both 12 and 45 can be divided by 3: (12 ÷ 3) / (45 ÷ 3) = 4/15

2. 4/15 ÷ 3/5: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. So, we have: (4/15) × (5/3) Now, we can multiply the numerators together and the denominators together: (4 × 5) / (15 × 3) = 20/45 Again, we can simplify this fraction. Both 20 and 45 can be divided by 5: (20 ÷ 5) / (45 ÷ 5) = 4/9

3. ¹2/3 ÷ 5/8: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have: (1/2) × (8/5) Now, we can multiply the numerators together and the denominators together: (1 × 8) / (2 × 5) = 8/10 This fraction can be simplified further. Both 8 and 10 can be divided by 2: (8 ÷ 2) / (10 ÷ 2) = 4/5

4. ¹1/5 ÷ 6/7 - 7/10: To perform this calculation, we need to follow the order of operations (PEMDAS). First, we perform the division: (1/5) ÷ (6/7) = (1/5) × (7/6) Now, we can multiply the numerators together and the denominators together: (1 × 7) / (5 × 6) = 7/30

Now, we subtract the fraction 7/10: 7/30 - 7/10 = (7/30) - (21/30) To subtract fractions, we need a common denominator. In this case, the common denominator is 30. Therefore, we have: 7/30 - 21/30 = (7 - 21)/30 = -14/30 This fraction can be simplified further. Both -14 and 30 can be divided by 2: (-14 ÷ 2) / (30 ÷ 2) = -7/15

So, the final results are:

1. 3/5 × 4/9 = 4/15
2. 4/15 ÷ 3/5 = 4/9
3. ¹2/3 ÷ 5/8 = 4/5
4. ¹1/5 ÷ 6/7 - 7/10 = -7/15