Find two rational number between the following rational number: 1) -1/2 and 2/3. 2) -2/3 and -1/4.
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1. -1/2‹ 1/2(-1/2+2/3) ‹ 2/3
-1/2 ‹ 4/12 ‹ 2/3
-1/2 ‹ 1/2(-1/2+4/12) ‹ 4/12 ‹ 2/3
-1/2 ‹ -1/12 ‹ 4/12 ‹ 2/3 .
2. -2/3 and -1/4
= -2/3 ‹ 1/2( -2/3 + -1/4) ‹ -1/4
= -2/3 ‹ -11/24 ‹ -1/4
= -2/3 ‹ 1/2(-2/3 + -11/24) ‹ -11/24 ‹ -1/4
= -2/3 ‹ -27/48 ‹ -11/24 ‹ -1/4.
-1/2 ‹ 4/12 ‹ 2/3
-1/2 ‹ 1/2(-1/2+4/12) ‹ 4/12 ‹ 2/3
-1/2 ‹ -1/12 ‹ 4/12 ‹ 2/3 .
2. -2/3 and -1/4
= -2/3 ‹ 1/2( -2/3 + -1/4) ‹ -1/4
= -2/3 ‹ -11/24 ‹ -1/4
= -2/3 ‹ 1/2(-2/3 + -11/24) ‹ -11/24 ‹ -1/4
= -2/3 ‹ -27/48 ‹ -11/24 ‹ -1/4.
priyanshu7903590883:
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