Question

List five rational numbers between 1/4 and 7/20

Answer 1

Answer:

hi here is your answer

Step-by-step explanation:

2 upon 5, 3 upon 6, 4 upon 8,5 upon 10, 6 upon 12

is your answer

Answer 2

Given: Two rational numbers $\frac{1}{4}$ and $\frac{7}{20}$

To find: Five rational numbers between the given numbers

Solution: The given numbers have different denominators. First we need to make their denominators same.

LCM of their denominators 4 and 20 = 20

To convert the rational numbers with same denominator, we have

$\frac{1}{4} = \frac{1}{4}$ × $\frac{5}{5} = \frac{5}{20}$ and $\frac{7}{20} = \frac{7}{20}$ × $\frac{1}{1} = \frac{7}{20}$

To insert 5 rational numbers, we need to multiply both numerator and denominator of each rational number with 5 + 1 i.e., 6.

$\frac{5}{20} = \frac{5}{20}$ × $\frac{6}{6} = \frac{30}{120}$ and $\frac{7}{20} = \frac{7}{20}$ × $\frac{6}{6} = \frac{42}{120}$

We can see that 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 and 41 are integers between 30 and 42.

We can choose any 5.

Hence, five rational numbers between $\frac{1}{4}$ and $\frac{7}{20}$ are:

$\frac{31}{120}, \frac{32}{120}, \frac{33}{120}, \frac{34}{120} \ and \ \frac{35}{120}$