express: 0.6+0.7777...+ 0.47777777.... in (p)/(q)form where q is not equal to 0.
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we will convert each of the term in p/q form
x=0.6
10x=6
10x=5.4+0.6
10x=5.4+x
9x=5.4
x=54/90
x=6/10
x=3/5
second term
y=0.7777..
10y=7.777...
10y=7+0.77..
10y=7+y
9y=7
y=7/9
third term:
z=0.477...
100z=47.777..
100z=47.3+0.4777..
100z=47.3+z
99z=47.3
z=473/990
finally,
x+y+z
3/5+7/9+473/990
LCM=990
586/990+770/990+473/990
1829/990
hope it helps
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x=0.6
10x=6
10x=5.4+0.6
10x=5.4+x
9x=5.4
x=54/90
x=6/10
x=3/5
second term
y=0.7777..
10y=7.777...
10y=7+0.77..
10y=7+y
9y=7
y=7/9
third term:
z=0.477...
100z=47.777..
100z=47.3+0.4777..
100z=47.3+z
99z=47.3
z=473/990
finally,
x+y+z
3/5+7/9+473/990
LCM=990
586/990+770/990+473/990
1829/990
hope it helps
please mark me as brainliest
oraclenaren200palkoj:
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