Question

Find ten rational numbers between 3/2 & 1/3.

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Answer 1

Step-by-step explanation:

first find L. C. M between them

3/2 & 1/3

3*3/2*3 & 1*2/3*2

9/6 & 2/6

now to find 10 rational no multiply it by 11 ( 10 +1)

9*11/6*11 & 2*11/6*11

99/66 & 22/66

so the ten numbers are 98/66,97/66,96/66,95/66,94/66,93/66,92/66,91/66,90/66,89/66

convert them into lowest term if possible

hope you like it mark me as brainlist :)

Answer 2

Answer:

$\frac{3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{1}{3}$

$\frac{3 \times 3}{2 \times 3} \: \: \: \: \: \: \: \: \: \frac{1 \times 2}{3 \times 2}$

$\frac{9}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{2}{6}$

$\frac{9}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{2}{6}$

we have to find ten rational numbers so we will use n + 1 formula

$n + 1$

$10 + 1$

$= 11$

$\frac{9 \times 11}{6 \times 11} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{2 \times 11}{6 \times 11}$

$\frac{99}{66} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{22}{66}$

The rational number between 3/2 and 1/3 are 23/66, 24/66, 25/66, 26/66, 27/66, 28/66, 29/66, 30/66, 31/66, 32/66, 33/66