Find 10 rational numbers between -3-4 and 5-6

3/4, 5/6 LCM of 4 and 6 = 12 3/4 = 3 × 3/4 × 3 = 9/12 and 5/6 = 5 × 2/6 × 2 = 10/12 10 rational number can be between 3/4, 5/6 = 8/12, 7/12, 6/12, 5/12 ...

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Byju's Answer

Standard VIII

Mathematics

Rational Numbers between Two Rational Numbers

Find 10 ratio...

Question

Find 10 rational numbers between $\frac{- 3}{4}$ and $\frac{5}{6}$

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Solution

$\frac{- 3}{4}, \frac{5}{6}$

LCM of 4 and 6 = 12

$\frac{- 3}{4} = \frac{- 3 \times 3}{4 \times 3} = \frac{- 9}{12}$

and $\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$

10 rational number can be between $\frac{- 3}{4}, \frac{5}{6}$

$= \frac{- 8}{12}, \frac{- 7}{12}, \frac{- 6}{12}, \frac{- 5}{12}, \frac{- 4}{12}, \frac{- 3}{12}, \frac{- 2}{12}, \frac{- 1}{12}, 0$ and $\frac{1}{12}$

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Find 10 rational numbers between −34 and 56

−34,56 LCM of 4 and 6 = 12 −34=−3×34×3=−912 and 56=5×26×2=1012 10 rational number can be between −34,56 =−812,−712,−612,−512,−412,−312,−212,−112,0 and 112

Find 10 rational numbers between $\frac{- 3}{4}$ and $\frac{5}{6}$