Question

7 3/5 ÷ 19/20 ; 5/7 ÷ 5 ; 6 ÷ 1 3/9

Answer 1

Ответ: 7 3/5 ÷ 19/20=38*20/(5*19)=4/2=2;

5/7 ÷ 5=5/(7*5)=1/7 ;

6 ÷ 1 3/9=6÷12/9=54/12=27/6=9/2=4,5.

Пошаговое объяснение:

Answer 2

Ответ:

8; 1/7; 4 1/2.

Пошаговое объяснение:

7 3/5:19/20=38/5*20/19=8;

5/7:5=5/7*1/5=1/7;

6:1 3/9=6*9/12=9/2=4 1/2.

Answer 3

To solve the given division problems, let's calculate each of them step by step:

1. 7 3/5 ÷ 19/20: To divide a mixed number by a fraction, we first convert the mixed number into an improper fraction. The improper fraction equivalent of 7 3/5 is (5 * 7 + 3)/5 = 38/5. Therefore, the problem becomes:

38/5 ÷ 19/20

To divide fractions, we multiply the numerator by the reciprocal of the denominator. The reciprocal of 19/20 is 20/19. Thus, we have:

(38/5) * (20/19)

Multiplying the numerators gives us 38 * 20 = 760, and multiplying the denominators gives us 5 * 19 = 95. Therefore, the result is:

760/95

To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5. Dividing both numbers by 5 gives us:

152/19

So, the result is 152/19.

2. 5/7 ÷ 5: To divide a fraction by a whole number, we can rewrite the whole number as a fraction with a denominator of 1. Therefore, the problem becomes:

5/7 ÷ 5/1

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 5/1 is 1/5. Thus, we have:

(5/7) * (1/5)

Multiplying the numerators gives us 5 * 1 = 5, and multiplying the denominators gives us 7 * 5 = 35. Therefore, the result is:

5/35

To simplify the fraction, we divide both the numerator and the denominator by their GCD, which is 5. Dividing both numbers by 5 gives us:

1/7

So, the result is 1/7.

3. 6 ÷ 1 3/9: To divide a whole number by a mixed number, we convert the mixed number into an improper fraction. The improper fraction equivalent of 1 3/9 is (9 * 1 + 3)/9 = 12/9. Therefore, the problem becomes:

6 ÷ 12/9

To divide by a fraction, we multiply the first number by the reciprocal of the second number. The reciprocal of 12/9 is 9/12. Thus, we have:

6 * 9/12

Multiplying the numerators gives us 6 * 9 = 54, and multiplying the denominators gives us 12 * 1 = 12. Therefore, the result is:

54/12

To simplify the fraction, we divide both the numerator and the denominator by their GCD, which is 6. Dividing both numbers by 6 gives us:

9/2

So, the result is 9/2 or 4.5.

Therefore, the solutions to the given division problems are:

1. 7 3/5 ÷ 19/20 = 152/19
2. 5/7 ÷ 5 = 1/7
3. 6 ÷ 1 3/9 = 9/2 or 4.5.