Question

19/30 - a/b + 1/60- 5/12 =2/15 найдите значение дроби a/b

Answer 1

Ответ:

38/60-a/b+1/60-25/60=8/60

14/60-a/b=8/60

a/b=14/60-8/60

a/b=6/60=1/10

Пошаговое объяснение:

Answer 2

To find the value of the fraction a/b, we need to solve the equation:

(19/30) - (a/b) + (1/60) - (5/12) = 2/15

Let's first combine the fractions on the left side:

Common denominator for the fractions on the left side = 60 (the least common multiple of 30, b, 60, and 12)

(19/30) - (a/b) + (1/60) - (5/12) = (19b - 30a + b - 25b) / 60

Now, simplify the fraction:

(19b - 30a + b - 25b) / 60 = (20b - 30a) / 60 = (10b - 15a) / 30

Now, set this fraction equal to 2/15:

(10b - 15a) / 30 = 2/15

To solve for a/b, cross-multiply:

15(10b - 15a) = 2 * 30

150b - 225a = 60

Now, isolate a/b:

225a = 150b - 60

Divide by 225:

a = (150b - 60) / 225

Now, we need to find a value for b to get a specific value for a/b. Without additional information or constraints, we can't determine a unique value for a/b. If you have a specific value for b, you can substitute it into the equation above to find the corresponding value of a/b.