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zuko3
@zuko3
July 2022
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sabrinaoy
2. (19-15 4/7):16/21+6 3/5-4 5/6=2 23/30
1) 19-15 4/7=19-109/7=(7*19-109)/7=(133-109)/7=24/7
2) 24/7:16/21=24/7*21/16=9/2
3) 9/2+6 3/5-4 5/6 =9/2+33/5-29/6 =(15*2+6*33-5*29)/30= (30+198-145)/30=83/30=2 23/30
3. (17:3 2/5-6 3/8:3 3/8):(1 1/5-29/30)=
1) 17:3 2/5=17:17/5=17*5/17=5
2) 6 3/8:3 3/8=51/8:27/8=51/8*8/27=51/27=17/9
4) 5-17/9=(45-17)/9=28/9
5) 1 1/5-29/30=6/5-29/30=(6*6-29)/30=7/30
6) 28/9:7/30=28/9*30/7=40/3=13 1/3
4. 2: 3 1/5+(3 1/4-2/3):3-(2 5/18-17/36)=69/72
1) 3 1/4-2/3=13/4-2/3=(3*13-4*2)/12=31/12
2) 2 5/18-17/36=41/18-17/36=(2*18-17)/36=19/36
3) 31/12:3=31/12*1/3=31/36
4) 2:3 1/5=2:16/5=2*5/16=5/8
5/8+31/36-19/36=(9*5+2*31-2*19)72=69/72
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Answers & Comments
1) 19-15 4/7=19-109/7=(7*19-109)/7=(133-109)/7=24/7
2) 24/7:16/21=24/7*21/16=9/2
3) 9/2+6 3/5-4 5/6 =9/2+33/5-29/6 =(15*2+6*33-5*29)/30= (30+198-145)/30=83/30=2 23/30
3. (17:3 2/5-6 3/8:3 3/8):(1 1/5-29/30)=
1) 17:3 2/5=17:17/5=17*5/17=5
2) 6 3/8:3 3/8=51/8:27/8=51/8*8/27=51/27=17/9
4) 5-17/9=(45-17)/9=28/9
5) 1 1/5-29/30=6/5-29/30=(6*6-29)/30=7/30
6) 28/9:7/30=28/9*30/7=40/3=13 1/3
4. 2: 3 1/5+(3 1/4-2/3):3-(2 5/18-17/36)=69/72
1) 3 1/4-2/3=13/4-2/3=(3*13-4*2)/12=31/12
2) 2 5/18-17/36=41/18-17/36=(2*18-17)/36=19/36
3) 31/12:3=31/12*1/3=31/36
4) 2:3 1/5=2:16/5=2*5/16=5/8
5/8+31/36-19/36=(9*5+2*31-2*19)72=69/72