Question

2 11/30+3 7/20-4 59/60​

Answer 1

Ответ:

$\frac{11}{15}$

Пошаговое объяснение:

2$\frac{11}{30}$+3$\frac{7}{20}$-4$\frac{59}{60}$=2$\frac{22}{60}$+3$\frac{21}{60}$-4$\frac{59}{60}$=5$\frac{43}{60}$-4$\frac{59}{60}$=$\frac{44}{60}$=$\frac{11}{15}$

Answer 2

To solve the arithmetic expression 2 11/30 + 3 7/20 - 4 59/60, we need to convert the mixed numbers to improper fractions and then perform the operations.

First, let's convert the mixed numbers to improper fractions:

2 11/30 = (2 * 30 + 11) / 30 = 71/30 3 7/20 = (3 * 20 + 7) / 20 = 67/20 4 59/60 = (4 * 60 + 59) / 60 = 299/60

Now, we can perform the operations:

(71/30) + (67/20) - (299/60)

To add and subtract fractions, we need a common denominator. The least common multiple of 30, 20, and 60 is 60.

(71/30) * (2/2) = 142/60 (67/20) * (3/3) = 201/60

Now, we have:

(142/60) + (201/60) - (299/60)

Combine the numerators:

(142 + 201 - 299) / 60 = 44 / 60

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

44 ÷ 4 / 60 ÷ 4 = 11/15

So, the result of the arithmetic expression is 11/15.