Question

А) 2/5×1целая1/4 б) 2целых1/9×4 В) 2целых1)×1целая2/5 г) 1целых9/11:4/5 д) 17:1целых8/9 Е) 1целая1/4:1целых2/7

Answer 1

Ответ:

А)

$\frac{1}{10}$

Б)

$\frac{8}{9}$

В)

$\frac{4}{5}$

Г)

$\frac{36}{11} = 3 \frac{3}{11}$

Д)

$\frac{136}{9} = 15 \frac{1}{9}$

Е)

$\frac{1}{14}$

Answer 2

А) To solve 2/5 × 1 whole 1/4: First, we need to convert the mixed number 1 whole 1/4 to an improper fraction. To do that, we multiply the whole number (1) by the denominator (5) and add the numerator (1). This gives us (1 × 5 + 1) / 4 = 6/4.

Now, we can multiply the fractions: 2/5 × 6/4 = (2 × 6) / (5 × 4) = 12/20.

Simplifying the result, we can divide both the numerator and denominator by their greatest common divisor, which is 4: 12/20 = (12 ÷ 4) / (20 ÷ 4) = 3/5.

Therefore, 2/5 × 1 whole 1/4 is equal to 3/5.

б) To solve 2 whole 1/9 × 4: First, convert the mixed number 2 whole 1/9 to an improper fraction. Multiply the whole number (2) by the denominator (9) and add the numerator (1). This gives us (2 × 9 + 1) / 9 = 19/9.

Now, we can multiply the fractions: 19/9 × 4 = (19 × 4) / 9 = 76/9.

Therefore, 2 whole 1/9 × 4 is equal to 76/9.

В) To solve 2 whole 1 × 1 whole 2/5: First, convert the mixed numbers to improper fractions. 2 whole 1 = (2 × 1 + 1) = 3/1, 1 whole 2/5 = (1 × 5 + 2) / 5 = 7/5.

Now, we can multiply the fractions: (3/1) × (7/5) = (3 × 7) / (1 × 5) = 21/5.

Therefore, 2 whole 1 × 1 whole 2/5 is equal to 21/5.

г) To solve 1 whole 9/11 : 4/5: First, convert the mixed number 1 whole 9/11 to an improper fraction: 1 whole 9/11 = (1 × 11 + 9) / 11 = 20/11.

Now, we can divide the fractions: (20/11) : (4/5) = (20/11) × (5/4) = (20 × 5) / (11 × 4) = 100/44.

Simplifying the result by dividing both the numerator and denominator by their greatest common divisor, which is 4: 100/44 = (100 ÷ 4) / (44 ÷ 4) = 25/11.

Therefore, 1 whole 9/11 : 4/5 is equal to 25/11.

д) To solve 17 : 1 whole 8/9: First, convert the mixed number 1 whole 8/9 to an improper fraction: 1 whole 8/9 = (1 × 9 + 8) / 9 = 17/9.

Now, we can divide the fractions: 17 : (17/9) = 17 × (9/17) = (17 × 9) / 17 = 9.

Therefore, 17 : 1 whole 8/9 is equal to 9.

Е) To solve 1 whole 1/4 : 1 whole 2/7: First