Question

4 1/5 :x –4 14/15-1 1/3

Answer 1

Ответ:

$4\frac{1}{5}:x=4\frac{14}{15} -1\frac{1}{3} \\\\\frac{21}{5} :x=\frac{74}{15} -\frac{4}{3}$

$\frac{74}{15} -\frac{4}{3} =\frac{74-20}{15} =\frac{54}{15}$

$\frac{21}{5} :x=\frac{54}{15} \\\\x=\frac{21}{5} :\frac{54}{15} =\frac{21}{5} *\frac{15}{54} \\\\x=\frac{36}{54} =\frac{2}{3}$

Пошаговое объяснение:

Answer 2

Ответ:)))

Пошаговое объяснение:всё на картинке

Answer 3

Let's break down and solve this expression step by step:

1. Start with the first fraction: 4 1/5. Convert it to an improper fraction: 4 1/5 = (5 * 4 + 1) / 5 = 21/5

2. Rewrite the expression with the improper fraction: 21/5 : x - 4 14/15 - 1 1/3

3. Now, let's work with the second fraction: 4 14/15. Convert it to an improper fraction: 4 14/15 = (15 * 4 + 14) / 15 = 74/15

4. Rewrite the expression with the improper fraction: 21/5 : x - 74/15 - 1 1/3

5. Next, deal with the mixed number 1 1/3. Convert it to an improper fraction: 1 1/3 = (3 * 1 + 1) / 3 = 4/3

6. Rewrite the expression with the improper fraction: 21/5 : x - 74/15 - 4/3

7. Now, we can perform the subtraction and division in the expression: 21/5 : x - 74/15 - 4/3

   To subtract fractions, we need a common denominator. In this case, the common denominator is 15: (21/5) - (74/15) - (4/3) = (63/15) - (74/15) - (20/15)

8. Continue simplifying the expression: (63/15) - (74/15) - (20/15) = (63 - 74 - 20) / 15 = (-31 - 20) / 15 = -51/15

So, the simplified expression is -51/15, which can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(-51 ÷ 3) / (15 ÷ 3) = -17/5

Therefore, the value of the expression is -17/5.