Question

(x+2 7\3):3 7\2=5\4 (Y-15\2):1 6\5=2 5\1 (1 4\1+x):1 5\4-3\1=2\1

Answer 1

Х+2 7/3=5/4*13/2
х+2 7/3=65/8
х=8 1/8-2 7/3
х=3 19/24

у-15/2=2 5/1*1 6/5
у-15/2=7/1*11/5
у-15/2=77/5
у=77/5+15/2
у=22 9/10

(1 4/1+х)/1 5/4=2+3
1 4/1+х=5* 1 5/4
1 4/1+х=5* 9/4
1 4/1+х=11 1/4
х=11 1/4- 1 4/1
х=6 1/4

Answer 2

To solve this equation, we need to apply the order of operations and simplify the expressions on both sides of the equation.

Starting with the left-hand side:

(x + 2 7/3) ÷ (3 7/2)

We can convert the mixed numbers to improper fractions:

(x + 21/3) ÷ (23/2)

Simplifying the numerator:

(x + 7) ÷ (23/2)

To divide by a fraction, we can multiply by its reciprocal:

(x + 7) × (2/23)

Multiplying:

2(x + 7) ÷ 23

Next, we simplify the right-hand side:

5/4 = (Y - 15/2) ÷ (1 6/5)

Converting mixed numbers to improper fractions:

5/4 = (Y - 30/2 + 6/5) ÷ (11/5)

Simplifying the numerator:

5/4 = (Y - 60/10 + 12/10) ÷ (11/5)

5/4 = (Y - 48/10) ÷ (11/5)

To divide by a fraction, we can multiply by its reciprocal:

5/4 × (5/11) = Y - 48/10

Simplifying:

25/44 = Y - 24/5

Adding 24/5 to both sides:

25/44 + 24/5 = Y

Multiplying to get a common denominator:

125/220 + 211/220 = Y

Simplifying:

336/220 = Y

Dividing both sides by 4:

84/55 = Y

Now we can substitute this value of Y into the left-hand side of the equation:

2(x + 7) ÷ 23 = 2(x/2 + 7/2) ÷ 23 = (x/2 + 7/2) ÷ (23/2) = (x + 7) ÷ 23

So, we have:

(x + 7) ÷ 23 = 84/55

Multiplying both sides by 23:

x + 7 = (23 × 84)/55

Simplifying:

x + 7 = 338/5

Subtracting 7 from both sides:

x = 338/5 - 35/5

x = 303/5

Therefore, the solution to the equation is:

x = 303/5