Question

1)X+4/15=16/17 2)y-5/20=5/8-3/10

Answer 1

Ответ:

Пошаговое объяснение:

x +4/15=16/17; x=240/255 -68/255=172/255

y -5/20=5/8 -3/10; y=5/8 -6/20 +5/20=25/40 -2/40=23/40=0,575

Answer 2

To solve the equations, let's find the values of 'x' and 'y':

1. x + 4/15 = 16/17

To isolate 'x', we need to move the constant term (4/15) to the other side of the equation. To do this, we'll subtract 4/15 from both sides:

x = 16/17 - 4/15

Now, we need to find a common denominator for 17 and 15, which is 255. We'll convert both fractions:

x = (16/17) * (15/15) - (4/15) * (17/17) x = (240/255) - (68/255)

Now, we can combine the fractions:

x = (240 - 68)/255 x = 172/255

To simplify the fraction, find the greatest common divisor (GCD) of 172 and 255, which is 17:

x = (172/17) / (255/17) x = 10/15

Now, simplify the fraction further:

x = (10/5) / (15/5) x = 2/3

So, the solution to the first equation is x = 2/3.

2. y - 5/20 = 5/8 - 3/10

First, simplify the fractions on the right-hand side:

y - 1/4 = 5/8 - 3/10

To combine the fractions on the right-hand side, find a common denominator for 8 and 10, which is 40:

y - 1/4 = (5/8) * (5/5) - (3/10) * (4/4) y - 1/4 = 25/40 - 12/40

Now, we can combine the fractions:

y - 1/4 = (25 - 12)/40 y - 1/4 = 13/40

To isolate 'y', we need to move the constant term (1/4) to the other side of the equation. To do this, we'll add 1/4 to both sides:

y = 13/40 + 1/4

Find a common denominator for 40 and 4, which is 40:

y = (13/40) * (1/1) + (10/40) * (10/10) y = 13/40 + 10/40

Now, we can combine the fractions:

y = (13 + 10)/40 y = 23/40

So, the solution to the second equation is y = 23/40.