Question

(3 1/4+2 1/6) :2 3/5-2/3:4/9​

Answer 1

Пошаговое объяснение:

подробное решение по действиям на фото.

Answer 2

Відповідь:

(3 1/4+2 1/6) :2 3/5-2/3:4/9​ = 7/12

Покрокове пояснення:

$(3\frac{1}{4} +2\frac{1}{6}) : 2\frac{3}{5}- \frac{2}{3} :\frac{4}{9} =(3+2\frac{3+2}{12} ):\frac{13}{5} -\frac{2}{3} *\frac{9}{4} =\frac{65}{12} *\frac{5}{13} -\frac{3}{2} =\frac{25}{12} -\frac{3}{2}=\frac{25-18}{12} =\frac{7}{12}$

Answer 3

To simplify the expression (3 1/4 + 2 1/6) ÷ (2 3/5 - 2/3 ÷ 4/9), you can follow these steps:

Step 1: Simplify each of the fractions within the mixed numbers.

3 1/4 = 13/4 2 1/6 = 13/6 2 3/5 = 13/5

Step 2: Perform the operations within the parentheses.

(13/4 + 13/6) ÷ (13/5 - (2/3 ÷ 4/9))

Step 3: Find a common denominator for the fractions in the numerators.

The common denominator for 4 and 6 is 12.

(13/12 + 26/12) ÷ (13/5 - (2/3 ÷ 4/9))

Step 4: Add the fractions in the first set of parentheses.

(39/12) ÷ (13/5 - (2/3 ÷ 4/9))

Step 5: Perform the division within the second set of parentheses.

(39/12) ÷ (13/5 - (2/3 × 9/4))

Step 6: Simplify the division and multiplication within the second set of parentheses.

(39/12) ÷ (13/5 - 18/12)

Step 7: Find a common denominator for the fractions in the second set of parentheses.

The common denominator for 5 and 12 is 60.

(39/12) ÷ (156/60 - 90/60)

Step 8: Perform the subtraction within the second set of parentheses.

(39/12) ÷ (66/60)

Step 9: Simplify the division.

(39/12) × (60/66)

Step 10: Reduce the fraction.

(13/4) × (10/11)

Step 11: Multiply the fractions.

(13/4) × (10/11) = 130/44

Step 12: Simplify the fraction, if possible.

130/44 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

(130/2) / (44/2) = 65/22

So, the simplified result of the expression is 65/22.