Question

Insert any three fraction between (a) 2/5 and 4/9. please tell me the answer step by step​

Answer 1

Answer:

2/5 and 4/9

So the fraction between 2/5 and 4/9

=(2+4)/(5+9)

By addition

=6/14

Dividing by 2

=3/7

Fraction between 2/5 and 3/7

=(2+3)/(5+7)

=5/12

Fraction between 3/7 and 4/9

=(3+4)/(7+9)

=7/16

Therefore, three fractions between 2/5 and 4/9 will be 5/12,3/7 and 7/16

Answer 2

Answer:

38/45, 1 1/5 and 1 19/45.

Step-by-step explanation:

For 2/5 and 4/9

First take LCM for denominators (5 and 9)

Itz 45.

Next,

2/5 * 9/9 = 18/45

And

4/9 * 5/5 = 20/45

Now add the numerators (18 + 20)

38/45 is one fraction between 2/5 and 4/9.

For 2nd fraction

Take 2/5 and 38/45 (Note : You can also take 4/9 and 38/45)

Then repeat the first step,

LCM is 45

Next,

2/5 * 9/9 = 18/45

And

38/45 * 1/1 = 38/45

Now add the numerators (18 + 38)

56/45

Now simplify by diving 9 on both numerator and denominator,

6/5

1 1/5.

1 1/5 is second fraction between 2/5 and 4/9.

For 3rd fraction,

Take 1 1/5 and 4/9 (Note : You can also take 2/5 and 1 1/5 (and) 38/45 and 1 1/5 too)

LCM is 45

Next,

6/5 * 9/9 = 54/45

And

4/9 * 5/5 = 20/45

Now add the numerators (54 + 20)

64/45

In mixed fraction,

1 19/45.

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