To find five rational numbers between 3/7 and 2/8, we can find the equivalent decimal values for both fractions and then choose rational numbers that lie between those decimal values. Let's proceed with the calculations:
Convert 3/7 to a decimal:
Divide 3 by 7: 3 ÷ 7 ≈ 0.428571...
Convert 2/8 to a decimal:
Divide 2 by 8: 2 ÷ 8 = 0.25
Now, we have the decimal equivalents for the given fractions: 0.428571... and 0.25.
To find the rational numbers between these decimal values, we can choose rational numbers with decimal values between 0.25 and 0.428571... Let's select five such numbers:
0.3 (equivalent to 3/10)
0.35 (equivalent to 7/20)
0.4 (equivalent to 2/5)
0.42 (equivalent to 21/50)
0.425 (equivalent to 17/40)
So, the five rational numbers between 3/7 and 2/8 are:
Answers & Comments
Answer:
Step-by-step explanation:
To find five rational numbers between 3/7 and 2/8, we can find the equivalent decimal values for both fractions and then choose rational numbers that lie between those decimal values. Let's proceed with the calculations:
Convert 3/7 to a decimal:
Divide 3 by 7: 3 ÷ 7 ≈ 0.428571...
Convert 2/8 to a decimal:
Divide 2 by 8: 2 ÷ 8 = 0.25
Now, we have the decimal equivalents for the given fractions: 0.428571... and 0.25.
To find the rational numbers between these decimal values, we can choose rational numbers with decimal values between 0.25 and 0.428571... Let's select five such numbers:
0.3 (equivalent to 3/10)
0.35 (equivalent to 7/20)
0.4 (equivalent to 2/5)
0.42 (equivalent to 21/50)
0.425 (equivalent to 17/40)
So, the five rational numbers between 3/7 and 2/8 are:
3/10, 7/20, 2/5, 21/50, and 17/40.