List 4 rational numbers between −1/2 and 3/5
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Answer:
1/20 , -9/40 , -7/80 and 13/40
step by step explanation:
-1/2 and 3/5
1/2 × (-1/2 + 3/5)
= 1/2 × {(-5+6) / 10}
= 1/2 × 1/10
= 1/20
-1/2 < 1/20 < 3/5
1/2 × (-1/2 + 1/20)
= 1/2 × {(-10+1) / 20}
= 1/2 ×-9/20
= -9/40
-1/2 < -9/40 < 1/20 < 3/5
1/2 × (-9/40 + 1/20)
= 1/2 × {(-9+2)/ 40}
= 1/2 × -7/40
= -7/80
-1/2 < -9/40 < -7/80 < 1/20 < 3/5
1/2 × (1/20+3/5)
= 1/2× {(1+2)/20}
= 1/2×13=20
= 13/40
-1/2 < -9/40 < -7/80 < 1/20 < 13/49 < 3/5
so, four rational numbers between -1/2 and 3/5 are
-9/40 , -7/80 ,1/20 and 13/40
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