Question

17 3/8-x=9 5/12+2 1/2

Answer 1

17 3/8-x=9 5/12+2 1/2; -х=(11 5/12+6/12)-17 3/8; х=17 3/8-11 11/12; х=5 11/8-11/12; х=5 33/24-22/24; х=5 11/24; Ответ: 5 11/24

Answer 2

17 3/8-x=9 5/12+2 1/2
17 3/8-x=11 11/12
x=17 3/8-11 11/12
x=17 9/24-11 22/24
x=6-13/24
x=5 11/24
Ответ: x=5 11/24

Answer 3

To solve the equation 17 3/8 - x = 9 5/12 + 2 1/2, we need to simplify the mixed numbers and fractions first, and then perform the necessary operations.

Let's start by converting the mixed numbers to improper fractions:

17 3/8 = (8 * 17 + 3)/8 = 145/8 2 1/2 = (2 * 2 + 1)/2 = 5/2

Now we can rewrite the equation as:

145/8 - x = 9 5/12 + 5/2

Next, we convert the mixed number 9 5/12 to an improper fraction:

9 5/12 = (12 * 9 + 5)/12 = 113/12

Now the equation becomes:

145/8 - x = 113/12 + 5/2

To add the fractions on the right side, we need a common denominator. The least common multiple of 8 and 12 is 24:

145/8 - x = (113/12 * 2/2) + (5/2 * 12/12) = 226/24 + 60/24

Now we can combine the fractions:

145/8 - x = (226 + 60)/24 = 286/24

To simplify the equation further, we can divide both sides by 286:

(145/8 - x) / (286/24) = 1

Now we can solve for x by multiplying both sides by (286/24):

145/8 - x = 286/24

Multiplying both sides by 24:

(145/8 - x) * 24 = 286

Expanding the left side:

(145 * 24)/8 - 24x = 286

Dividing 145 * 24 by 8:

3480/8 - 24x = 286

Simplifying:

435 - 24x = 286

Now we can isolate x by subtracting 435 from both sides:

-24x = 286 - 435 -24x = -149

Finally, we solve for x by dividing both sides by -24:

x = -149 / -24

Simplifying the division:

x = 149/24

Therefore, the solution to the equation 17 3/8 - x = 9 5/12 + 2 1/2 is x = 149/24.