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Class 10 Class 12

Number Systems

Find three rational numbers

2 over 5 space and space space 7 over 8

3 over 5 equals 24 over 40 7 over 8 equals 35 over 40

Hence, three rational numbers can be taken as

space space space space space space space space space space space space space space 25 over 40 comma space 26 over 40 comma space 27 over 40 or comma space space space space space space space space space space space space 5 over 8 comma space 13 over 20 comma space 27 over 40

306 Views

Insert three rational numbers between $negative 2 over 5 space and space minus 1 fifth$

fraction numerator open parentheses negative begin display style 2 over 5 end style close parentheses plus open parentheses negative begin display style 1 fifth end style close parentheses over denominator 2 end fraction equals negative 3 over 10 fraction numerator open parentheses negative begin display style 2 over 5 end style close parentheses plus open parentheses negative begin display style 3 over 10 end style close parentheses over denominator 2 end fraction equals fraction numerator open parentheses negative begin display style 7 over 10 end style close parentheses over denominator 2 end fraction equals negative 7 over 20 fraction numerator open parentheses negative begin display style 3 over 10 end style close parentheses plus open parentheses negative begin display style 1 fifth end style close parentheses over denominator 2 end fraction equals fraction numerator open parentheses negative begin display style 3 over 10 end style close parentheses plus open parentheses negative begin display style 2 over 10 end style close parentheses over denominator 2 end fraction equals space fraction numerator open parentheses negative begin display style 5 over 10 end style close parentheses over denominator 2 end fraction equals negative 5 over 20 equals negative 1 fourth

Thus, three rational numbers which can be inserted between

negative 2 over 5 space and space minus 1 fifth space are space minus 7 over 20 comma space minus 3 over 10 space and space minus 1 fourth.

608 Views

Find four rational numbers be-tween

1 third space a n d space 4 over 5.

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Hence, four rational numbers can be taken as

1 half comma space 7 over 12 comma space 2 over 3 space and space 3 over 4.

327 Views

Find four rational numbers be-tween $3 over 7 space a n d space 5 over 7$

Since,

$3 over 7 equals 30 over 70 5 over 7 equals 50 over 70 space$

Four rational numbers between $3 over 7 space a n d space 5 over 7$ can be taken as

$31 over 70 comma space 32 over 70 comma space 33 over 70 space space a n d space 34 over 70 i. e. space 31 over 70 comma space 16 over 35 comma space 33 over 70 space a n d space 17 over 35$