Question

A)9 4/7-y=4 7/11 б)x+2 3/8=137/8

Answer 1

а) ответ:

$y = \frac{380}{77}$

б)x=59/4$\frac{59}{4}$

Answer 2

To solve the equations A) 9 4/7 - y = 4 7/11 and B) x + 2 3/8 = 137/8, we'll follow these steps:

A) 9 4/7 - y = 4 7/11

Step 1: Convert both mixed numbers to improper fractions. 9 4/7 = (7 * 9 + 4) / 7 = 67 / 7 4 7/11 = (11 * 4 + 7) / 11 = 51 / 11

Step 2: Write the equation with the improper fractions. 67/7 - y = 51/11

Step 3: To combine the fractions, find a common denominator for both sides. In this case, the least common multiple (LCM) of 7 and 11 is 77.

Step 4: Rewrite the equation with the common denominator (77). (67/7) * (11/11) - y = (51/11) * (7/7) 737/77 - y = 357/77

Step 5: Solve for y by isolating the y variable on one side of the equation. y = 737/77 - 357/77 y = (737 - 357) / 77 y = 380 / 77

Now, simplify the fraction if possible: y = 380 / 77 = 20 / 4 = 10/7

So, the solution for A) is y = 10/7.

B) x + 2 3/8 = 137/8

Step 1: Convert the mixed number to an improper fraction. 2 3/8 = (8 * 2 + 3) / 8 = 19 / 8

Step 2: Write the equation with the improper fraction. x + 19/8 = 137/8

Step 3: To solve for x, isolate the x variable on one side of the equation. x = 137/8 - 19/8 x = (137 - 19) / 8 x = 118 / 8

Now, simplify the fraction if possible: x = 118 / 8 = 59 / 4

So, the solution for B) is x = 59/4.