Question

(4 1/6 - 1 1/3 : 2/5) * 2/5

Answer 1

Ответ:

$\frac{1}{3}$

Пошаговое объяснение:

Решение:

$(4\frac{1}{6}-1\frac{1}{3}:\frac{2}{5})*\frac{2}{5}$

1) $1\frac{1}{3}:\frac{2}{5}=\frac{3*1+1}{3}:\frac{2}{5}=\frac{3+1}{3}:\frac{2}{5}=\frac{4}{3}:\frac{2}{5}=\frac{4*5}{3*2}=\frac{20}{6}$

2) $4\frac{1}{6}-\frac{20}{6}=\frac{6*4+1}{6}-\frac{20}{6}=\frac{24+1}{6}-\frac{20}{6}=\frac{25}{6}-\frac{20}{6}=\frac{5}{6}$

3) $\frac{5}{6}*\frac{2}{5}=\frac{5*2}{6*5}=\frac{10}{30}=\frac{10:10}{30:10}=\frac{1}{3}$

УДАЧИ! ОБРАЩАЙТЕСЬ!

Answer 2

Ответ:

-2

Пошаговое объяснение:

(4 1/6 - 1 1/3 : 2/5) * 2/5= 4 1/6* 2/5- 1 1/3 =25/6*2/5-11/3=5/3-11/3=-6/3=-2

Answer 3

To solve the expression, first, we need to simplify the fraction inside the parenthesis:

4 1/6 - 1 1/3

To make the fractions easier to work with, let's convert the mixed numbers to improper fractions:

4 1/6 = (4 * 6 + 1) / 6 = 25 / 6 1 1/3 = (1 * 3 + 1) / 3 = 4 / 3

Now, let's subtract these two fractions:

25/6 - 4/3

To subtract fractions, they need to have a common denominator, which is 6 in this case. So, let's convert 4/3 to a fraction with a denominator of 6:

4/3 * (2/2) = 8/6

Now, we can perform the subtraction:

25/6 - 8/6 = (25 - 8) / 6 = 17/6

Next, we'll divide this result by 2/5:

(17/6 : 2/5)

To divide fractions, we invert the divisor and multiply:

(17/6) * (5/2) = (17 * 5) / (6 * 2) = 85/12

Finally, we'll multiply this result by 2/5:

85/12 * 2/5

To multiply fractions, we simply multiply the numerators and denominators:

(85 * 2) / (12 * 5) = 170 / 60

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 10:

170 / 60 = (170 ÷ 10) / (60 ÷ 10) = 17/6

So, the final result of the expression is 17/6.