Question

1) 6/11×4/7= 2) 1 3/25×2 1/7-2 1/9×27/19= 3) 1 3/5×(3/4+1 3/8)= 4)15 4/9-4 4/9×3 3/8=

Answer 1

Ответ:

1)6/11   *  4/7   = (6*4)/(11*7) =  24/77

3)1 3/5 * (3/4 + 1 3/8) = 1 3/5 * (6/8 + 1 3/8) =  

= 1 3/5 * 1 9/8 = 8/5 * 17/8 =  

= 17/5 = 3 2/5

4)15 4/9-4 4/9*3 3/8=4/9

2)1 3/25×2 1/7-2 1/9×27/19=28/25 * 15/7 - 19/9 * 27/190 = 12/5 - 3/10 = 24/10 - 3/10 = 21/10 = 2 1/10

Объяснение:

Answer 2

Let's solve the equations step by step:

1. 6/11 × 4/7: To multiply fractions, you simply multiply the numerators together and the denominators together. So, (6 × 4) / (11 × 7) = 24 / 77.

2. 1 3/25 × 2 1/7 - 2 1/9 × 27/19: First, we need to convert the mixed numbers to improper fractions: 1 3/25 = (25 × 1 + 3) / 25 = 28/25 2 1/7 = (7 × 2 + 1) / 7 = 15/7 2 1/9 = (9 × 2 + 1) / 9 = 19/9

Now, let's calculate: (28/25) × (15/7) - (19/9) × (27/19)

To multiply fractions, multiply the numerators together and the denominators together: (28 × 15) / (25 × 7) - (19 × 27) / (9 × 19)

Simplifying: 420 / 175 - 513 / 171

To subtract fractions, you need a common denominator: (420 × 3) / (175 × 3) - 513 / 171

1260 / 525 - 513 / 171

Now, let's find a common denominator for 525 and 171, which is 855: (1260 × 3) / (525 × 3) - (513 × 5) / (171 × 5)

3780 / 1575 - 2565 / 855

Simplifying: 2.4 - 3

The answer is -0.6.

3. 1 3/5 × (3/4 + 1 3/8): Let's convert the mixed number to an improper fraction: 1 3/5 = (5 × 1 + 3) / 5 = 8/5

Now, let's calculate: (8/5) × (3/4 + 1 3/8)

To add fractions, find a common denominator: (8/5) × (3/4 + 11/8)

Now, let's find a common denominator for 4 and 8, which is 8: (8/5) × (3/4 + 22/8)

(8/5) × (3/4 + 11/4)

To add fractions, add the numerators together and keep the same denominator: (8/5) × (14/4)

Simplifying: (8 × 14) / (5 × 4)

112 / 20

Simplifying further: 56/10 = 5.6

The answer is 5.6.

4. 15 4/9 - 4 4/9 × 3 3/8: First, convert the mixed numbers to improper fractions: 15 4/9 = (9 × 15 + 4) / 9 = 139/9 4 4/9 = (9 × 4 + 4) / 9 = 40/9 3 3/8 = (8 × 3 + 3) / 8 = 27/8

Now, let's calculate: 139/9 - (40/9) × (27/8)

To multiply fractions, multiply the numerators together and the denominators together: 139/9 - (40 × 27) / (9 × 8)

Simplifying: 139/9 - 1080/72

To subtract fractions, you need a common denominator: (139 × 8) / (9 × 8) - 1080/72

Now, let's find a common denominator for 9 and 72, which is 72: (139 × 8) / (9 × 8) - (1080 × 1) / (72 × 1)

(1112/72) - (1080/72)

Now, subtract the numerators: (1112 - 1080) / 72

32 / 72

Simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 8: 4 / 9

The answer is 4/9.