Question

Find four rational numbers between 2/9 and 3/7

Answer 1

Four rational number between $\frac{2}{9} \text { and } \frac{3}{7} \text { are } \bold{\frac{15}{63}, \frac{16}{63}, \frac{17}{63}, \frac{18}{63}}$

Given:

$\frac{2}{9} \text { and } \frac{3}{7}$

To find:

Four rational number between $\frac{2}{9} \text { and } \frac{3}{7}$

Solution:  

To determine rational number between $\frac{2}{9} \text { and } \frac{3}{7}$

first of all we have to convert them in a similar terms by making their denominator same.

By taking the LCM of 9 and 7 we get $9 \times 7=63$

So, we have to make 63 as denominator of both the terms.

For this,

$\begin{array}{l}{\frac{2}{9}=\frac{2 \times 7}{9 \times 7}=\frac{14}{63}} \\\\ {\frac{3}{7}=\frac{3 \times 9}{7 \times 9}=\frac{27}{63}}\end{array}$

The rational number between $\frac{14}{63} \text { and } \frac{27}{63} \text { are } \frac{15}{63}, \frac{16}{63}, \frac{17}{63}, \frac{18}{63}$

Answer 2

Answer:

$Four \\rarional\: numbers\: between \: \frac{2}{9}\\and\:\frac{3}{7}\: are\\\frac{15}{63},\frac{16}{63},\frac{17}{63},\frac{18}{63}$

Step-by-step explanation:

$Given \: rational \: numbers\\\frac{2}{9}\:and \:\frac{3}{7}$

\* Make two denominators equal.

$i)\frac{2}{9}\\=\frac{2\times 7}{9\times 7}\\=\frac{14}{63}$

$ii)\frac{3}{7}\\=\frac{3\times 9}{7\times 9}\\=\frac{27}{63}$

$Now,\\ \: Four \\rarional\: numbers\: between \: \frac{2}{9}\\and\:\frac{3}{7}\: are\\\frac{15}{63},\frac{16}{63},\frac{17}{63},\frac{18}{63}$

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