Question

1) 3 3/5 : 1 2/3 2)13 4/5 : 1 7/23 3) 18 4/5 : 3/7 Обчисли значення виразу

Answer 1

$3 \frac{3}{5} \div 1 \frac{2}{3} = \frac{18 \times 3}{5 \times 5} = \frac{54}{25} =2 \frac{4}{25} = 2.16$

$13 \frac{4}{5} \div 1 \frac{7}{23} = \frac{69 \times 23}{5 \times 30} = \frac{23 \times 23}{5 \times 10} = \frac{529}{50} = 10 \frac{29}{50} = 10.58$

$18 \frac{4}{5} \div \frac{3}{7} = \frac{94 \times 7}{5 \times 3} = \frac{658}{15} = 43 \frac{13}{15}$

Answer 2

1)  3 3/5 : 1 2/3 = 18/5 : 5/3 = 18/5 * 3/5 = 54/25 = 2 4/25 = 2 16/100 = 2,16.

2)  13 4/5 : 1 7/23 = 69/5 : 30/23 = 69/5 * 23/30 = 1587/150 = 529/50 =

    = 10 29/50 = 10 58/100 = 10,58.

3)  18 4/5 : 3/7 = 94/5 : 3/7 = 94/5 * 7/3 = 658/15 = 43 13/15.

Answer 3

To evaluate the given expressions, we'll perform the necessary arithmetic operations.

1. 3 3/5 : 1 2/3

To divide mixed numbers, we need to convert them to improper fractions.

3 3/5 can be written as (5 * 3 + 3) / 5 = 18/5. 1 2/3 can be written as (3 * 1 + 2) / 3 = 5/3.

Now, we can perform the division: (18/5) / (5/3).

When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(18/5) * (3/5) = (18 * 3) / (5 * 5) = 54/25.

Therefore, the value of the expression 3 3/5 : 1 2/3 is 54/25.

2. 13 4/5 : 1 7/23

Following the same steps as above, we convert the mixed numbers to improper fractions.

13 4/5 = (5 * 13 + 4) / 5 = 69/5. 1 7/23 = (23 * 1 + 7) / 23 = 30/23.

Now, we can perform the division: (69/5) / (30/23).

Again, we multiply the first fraction by the reciprocal of the second fraction.

(69/5) * (23/30) = (69 * 23) / (5 * 30) = 1587/150.

Therefore, the value of the expression 13 4/5 : 1 7/23 is 1587/150.

3. 18 4/5 : 3/7

Converting the mixed number to an improper fraction:

18 4/5 = (5 * 18 + 4) / 5 = 94/5.

Now, we can perform the division: (94/5) / (3/7).

Again, we multiply the first fraction by the reciprocal of the second fraction.

(94/5) * (7/3) = (94 * 7) / (5 * 3) = 658/15.

Therefore, the value of the expression 18 4/5 : 3/7 is 658/15.