1) To solve this problem, we first need to convert all the mixed numbers to improper fractions.
6 5/6 = 41/62 11/12 = 35/127 8/3 = 29/3
Now we can rewrite the equation:
41/6 -2875/1000 + 35/12 - 29/3
Next, we need to find a common denominator for all the fractions. The least common multiple of 6, 12, and 3 is 12:
(41/6 2/2) - (2875/1000) + (35/12 1/1) - (29/3 * 4/4)82/12 - 2875/1000 + 35/12 - 116/12
Now we can add and subtract the fractions:
(82 - 2875) / 12 + 35/12 - 116/12(-2793) / 12 + 35/12 - 116/12(-2758) / 12-229.83
Therefore, the solution to the equation is -229.83.
2) The requested expression is:
3 9/16 - 5.25 - 4 1/8 + 4.8125
First, we convert all mixed numbers to improper fractions:
3 9/16 = 51/164 1/8 = 33/8
51/16 - 5.25 - 33/8 + 4.8125
Next, we need to add and subtract the fractions:
(51/16) - (33/4) - 5.25 + 4.8125(51/16) - (132/16) - 33/4 + 193/40-81/16 - 33/4 + 193/40
Now we find a common denominator for all the fractions. The least common multiple of 16, 4, and 40 is 160:
(-81 10) / 160 - (33 40) / 160 + 193 / 40-810/160 - 1320/160 + 193/40-2130/160 + 193/40
-2130/160 + 193/40-13.3125 + 4.8125-8.5
Therefore, the solution to the equation is -8.5.
1) To solve this problem, we first need to convert all the mixed numbers to improper fractions.
6 5/6 = 41/6
2 11/12 = 35/12
7 8/3 = 29/3
Now we can rewrite the equation:
41/6 -2875/1000 + 35/12 - 29/3
Next, we need to find a common denominator for all the fractions. The least common multiple of 6, 12, and 3 is 12:
(41/6 2/2) - (2875/1000) + (35/12 1/1) - (29/3 * 4/4)
82/12 - 2875/1000 + 35/12 - 116/12
Now we can add and subtract the fractions:
(82 - 2875) / 12 + 35/12 - 116/12
(-2793) / 12 + 35/12 - 116/12
(-2758) / 12
-229.83
Therefore, the solution to the equation is -229.83.
2) The requested expression is:
3 9/16 - 5.25 - 4 1/8 + 4.8125
First, we convert all mixed numbers to improper fractions:
3 9/16 = 51/16
4 1/8 = 33/8
Now we can rewrite the equation:
51/16 - 5.25 - 33/8 + 4.8125
Next, we need to add and subtract the fractions:
(51/16) - (33/4) - 5.25 + 4.8125
(51/16) - (132/16) - 33/4 + 193/40
-81/16 - 33/4 + 193/40
Now we find a common denominator for all the fractions. The least common multiple of 16, 4, and 40 is 160:
(-81 10) / 160 - (33 40) / 160 + 193 / 40
-810/160 - 1320/160 + 193/40
-2130/160 + 193/40
Now we can add and subtract the fractions:
-2130/160 + 193/40
-13.3125 + 4.8125
-8.5
Therefore, the solution to the equation is -8.5.