Question

Хелп плз. 4 3/7 + 7 16/21= 5 5/12 - 3 9/16= 5/9 x 1 4/5= 2 1/2 : 1 2/3= 3 x 1 3/7= (7 1/2 x 2 2/3 - 12 /4 : 7/9) : 6=

Answer 1

Пошаговое объяснение:

1) 12 4/21

2)1 41/48

3)1 5/9

4)1 1/2

5)4 2/7

6)2 9/24

Answer 2

Sure, I'll help you solve these arithmetic expressions step by step:

1. To add 4 3/7 and 7 16/21: First, find a common denominator, which is 21 in this case. 4 3/7 = (4 * 7 + 3) / 7 = 31/7 7 16/21 = (7 * 21 + 16) / 21 = 163/21

Now add the fractions: 31/7 + 163/21

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 21.

31/7 * 3/3 = 93/21 163/21 * 1/1 = 163/21

Now we have the same denominator, so we can add the fractions: 93/21 + 163/21 = 256/21

Now simplify the result to a mixed number: 256/21 = 12 4/21

So, 4 3/7 + 7 16/21 = 12 4/21.

2. To subtract 5 5/12 from 3 9/16: First, find a common denominator, which is 48 in this case. 5 5/12 = (5 * 12 + 5) / 12 = 65/12 3 9/16 = (3 * 16 + 9) / 16 = 57/16

Now subtract the fractions: 65/12 - 57/16

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 48.

65/12 * 4/4 = 260/48 57/16 * 3/3 = 171/48

Now we have the same denominator, so we can subtract the fractions: 260/48 - 171/48 = 89/48

Now simplify the result to a mixed number: 89/48 = 1 41/48

So, 5 5/12 - 3 9/16 = 1 41/48.

3. To multiply 5/9 by 1 4/5: Convert the mixed number to an improper fraction first. 1 4/5 = (1 * 5 + 4) / 5 = 9/5

Now multiply the fractions: 5/9 * 9/5

The denominators are different, but we can see that 5 in the numerator of the first fraction cancels out with the denominator of the second fraction.

Result: 1

So, 5/9 x 1 4/5 = 1.

4. To divide 2 1/2 by 1 2/3: Convert both mixed numbers to improper fractions first. 2 1/2 = (2 * 2 + 1) / 2 = 5/2 1 2/3 = (1 * 3 + 2) / 3 = 5/3

Now divide the fractions: 5/2 ÷ 5/3

When dividing fractions, we invert the second fraction and multiply: 5/2 * 3/5

The 5 in the numerator of the first fraction cancels out with the denominator of the second fraction.

Result: 3/2 = 1 1/2

So, 2 1/2 : 1 2/3 = 1 1/2.

5. To multiply 3 by 1 3/7: Convert the mixed number to an improper fraction first. 1 3/7 = (1 * 7 + 3) / 7 = 10/7

Now multiply the fractions: 3 * 10/7

Result: 30/7 = 4 2/7

So, 3 x 1 3/7 = 4 2/7.

6. To evaluate (7 1/2 x 2 2/3 - 12 /4 : 7/9) : 6: First, convert both mixed numbers to improper fractions. 7 1/2 = (7 * 2 + 1) / 2 = 15/2 2 2/3 = (2 * 3 + 2) / 3 = 8/3

Now perform the multiplication: (15/2 x 8/3) - (12/4 ÷ 7/9)

Now, find the common denominator for subtraction: 15/2 x 8/3 = 120/6 12/4 ÷ 7/9 = (12/4) * (9/7) = 108/28

Subtract the fractions: 120/6 - 108/28

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 28.

120/6 * 4/4 = 480/24 108/28 * 1/1 = 108/28

Now we have the same denominator, so we can subtract the fractions: 480/24 - 108/28 = 372/24

Now, perform the final division: (372/24) ÷ 6 = 62/24 = 2 2/3

So, (7 1/2 x 2 2/3 - 12 /4 : 7/9) : 6 = 2 2/3.