To solve this expression, we will first convert all the mixed numbers to improper fractions.
8 7/12 = 8<em>12+78 <em> 12 + 78<em>12+7 / 12 = 103 / 122 17/36 = 2</em>36+172 </em> 36 + 172</em>36+17 / 36 = 89 / 364 1/3 = 4∗3+14 * 3 + 14∗3+1 / 3 = 13 / 3
Now, substitute the improper fractions back into the expression:
103/12−89/36103/12 - 89/36103/12−89/36 * 2.7 - 13/3 / 0.65
103/12−89/36103/12 - 89/36103/12−89/36 = 103<em>3−89103<em>3 - 89103<em>3−89 / 123 = 309−89309 - 89309−89 / 36 = 220 / 36 = 55/9
Now the expression becomes:
55/955/955/9 * 2.7 - 13/3 / 0.65
Now, we will simplify multiplication and division:
55/955/955/9 2.7 = 148.5 / 9 = 16.513/3 / 0.65 = 13/3 1/0.65 = 13/1 * 1/0.65 = 13/0.65 = 20
16.5 - 20 = -3.5
Therefore, the answer is -3.5.
To solve this expression, we will first convert all the mixed numbers to improper fractions.
8 7/12 = 8<em>12+78 <em> 12 + 78<em>12+7 / 12 = 103 / 12
2 17/36 = 2</em>36+172 </em> 36 + 172</em>36+17 / 36 = 89 / 36
4 1/3 = 4∗3+14 * 3 + 14∗3+1 / 3 = 13 / 3
Now, substitute the improper fractions back into the expression:
103/12−89/36103/12 - 89/36103/12−89/36 * 2.7 - 13/3 / 0.65
103/12−89/36103/12 - 89/36103/12−89/36 = 103<em>3−89103<em>3 - 89103<em>3−89 / 123 = 309−89309 - 89309−89 / 36 = 220 / 36 = 55/9
Now the expression becomes:
55/955/955/9 * 2.7 - 13/3 / 0.65
Now, we will simplify multiplication and division:
55/955/955/9 2.7 = 148.5 / 9 = 16.5
13/3 / 0.65 = 13/3 1/0.65 = 13/1 * 1/0.65 = 13/0.65 = 20
Now the expression becomes:
16.5 - 20 = -3.5
Therefore, the answer is -3.5.