Find five rational numbers between - 3/5 and - 1/2
-3/5 = -60/100
-1/2 = -50/100
To find five rational numbers between -3/5 and -1/2, we need to find five numbers that lie between these two values on the number line. The key is to find five rational numbers whose values gradually increase from -3/5 to -1/2.
Step 1: Find the difference between the two given rational numbers.
-1/2 - (-3/5) = -1/2 + 3/5 = -5/10 + 6/10 = 1/10
Step 2: Divide the difference by the number of intervals you want to create. In this case, we want five intervals.
1/10 ÷ 5 = 1/10 × 1/5 = 1/50
Step 3: Starting from the first given number, -3/5, add the calculated interval repeatedly until we reach the fifth number.
-3/5 + 1/50 = -30/50 + 1/50 = -29/50
-29/50 + 1/50 = -28/50
-28/50 + 1/50 = -27/50
-27/50 + 1/50 = -26/50
-26/50 + 1/50 = -25/50
Therefore, the five rational numbers between -3/5 and -1/2 are:
-29/50, -28/50, -27/50, -26/50, -25/50