Express each repeating decimal as a fraction.

1.
1.8[4]

2.
2.1[26]

Hello,

1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45

2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198

Answer Link

michitode111 michitode111 · Answer 2 · 2021-04-19T17:45:29+02:00

michitode111 michitode111

19-04-2021

Answer:

1.8444444....=1.8+1/10*0.44444....

=1.8+1/10*4/9

=1.8+4/90

=162/90+4/90

=166/90

=83/45

2.126262626...=2.1+1/10*0.262626...

=2.1+1/10*26/99

=2.1+26/990

=2079/990+26/990

=2105/990

=421/198

Answer Link

Express each repeating decimal as a fraction. 1. 1.8[4] 2. 2.1[26]

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Express each repeating decimal as a fraction.

1.
1.8[4]

2.
2.1[26]