Question

Х-49 7/12=51 5/6+10 1/18

Answer 1

$x-49\frac{7}{12} =51\frac{5}{6} +10\frac{1}{18}\\x=\frac{311}{6} +\frac{181}{18} +\frac{595}{12} \\x=\frac{1866+362+1785}{36} \\x=\frac{4013}{36} \\x=111\frac{17}{36}$

Answer 2

1)приводим к общему знаменателю все дроби

самый малый знаменатель -это 36,тогда 12 *3;6*6;18*2

х -49 21/36 = 51 30/36+10 3/36

х =51 30/36+10 3/36+49 21/36

х = 110 72/36=112

х =112

ответ: х=112

Answer 3

To solve the equation, let's first convert all the mixed numbers into improper fractions. Then we can proceed with the addition.

Starting with the equation:

X - 49 7/12 = 51 5/6 + 10 1/18

Step 1: Convert mixed numbers to improper fractions 49 7/12 = (49 * 12 + 7) / 12 = 595 / 12 51 5/6 = (51 * 6 + 5) / 6 = 307 / 6 10 1/18 = (10 * 18 + 1) / 18 = 181 / 18

Now the equation becomes:

X - 595/12 = 307/6 + 181/18

Step 2: Find a common denominator for the fractions on the right side, which is 18 (the LCM of 6 and 18).

Step 3: Convert all fractions to have a denominator of 18:

307/6 = (307/6) * (3/3) = 921/18 181/18 = 181/18

The equation now becomes:

X - 595/12 = 921/18 + 181/18

Step 4: Add the fractions on the right side:

921/18 + 181/18 = (921 + 181) / 18 = 1102 / 18

Step 5: Convert the result back to a mixed number:

1102 / 18 = 61 with a remainder of 4 (1102 divided by 18)

So, the final result is:

X - 595/12 = 61 4/18

Step 6: Simplify the mixed number (if possible):

61 4/18 = 61 2/9 (divide the numerator and denominator by their greatest common divisor, which is 2)

The equation now becomes:

X - 595/12 = 61 2/9

Step 7: Solve for X:

To isolate X, we add 595/12 to both sides of the equation:

X = 61 2/9 + 595/12

Step 8: Find a common denominator for the mixed number and the fraction:

61 2/9 = (61 * 9 + 2) / 9 = 551/9

Now the equation becomes:

X = 551/9 + 595/12

Step 9: Find a common denominator for the fractions on the right side, which is 36 (the LCM of 9 and 12).

Step 10: Convert all fractions to have a denominator of 36:

551/9 = (551/9) * (4/4) = 2204/36 595/12 = (595/12) * (3/3) = 1785/36

The equation now becomes:

X = 2204/36 + 1785/36

Step 11: Add the fractions on the right side:

2204/36 + 1785/36 = (2204 + 1785) / 36 = 3989 / 36

Step 12: Convert the result back to a mixed number:

3989 / 36 = 110 with a remainder of 29 (3989 divided by 36)

So, the final solution is:

X = 110 29/36