Question

find ten rational numbers between
3/5
and 5/12


please help me​

Answer 1

Answer:

First we will convert these numbers into like terms.

LCM of 5 and 12 is 60.

Therefore,

$\frac{5}{12} = \frac{5 \times 6}{12 \times 5} = \frac{30}{60}$

$\frac{3}{5} = \frac{3 \times 12}{5 \times 12} = \frac{36}{60}$

Now to find 10 rational numbers, we will multiply 30/60 and 36/60 to 11.

$\frac{30}{60} = \frac{30 \times 11}{60 \times 11} = \frac{330}{660}$

$\frac{36}{60} = \frac{36 \times 11}{60 \times 11} = \frac{396}{660}$

Therefore the required rational numbers are,

331/660, 337/660, 347/660,357/660, 367/660, 377/660, 387/660, 389/660, 391/660 and 341/660

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