Which of the following rational number lies between 56 and 43-

We first convert nbsp;56 and nbsp;43 to rational numbers with the same denominators. 4×23×2=86 Thus we have nbsp;76 nbsp;which lies between nbsp;56 an ...

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Byju's Answer

Standard VII

Mathematics

Rational Numbers between Two Rational Numbers

Which of the ...

Question

Which of the following rational number lies between $\frac{5}{6}$ and $\frac{4}{3}$ ?

\frac{7}{6}

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\frac{3}{4}

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\frac{5}{8}

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\frac{7}{5}

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Solution

The correct option is A $\frac{7}{6}$
We first convert $\frac{5}{6}$ and $\frac{4}{3}$ to rational numbers with the same denominators.
$\frac{4 \times 2}{3 \times 2} = \frac{8}{6}$
Thus we have $\frac{7}{6}$ which lies between $\frac{5}{6}$ and $\frac{8}{6}$

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Similar questions

Q. Two rational numbers between

\frac{2}{3} and \frac{5}{3}

are
(a)

\frac{1}{6} and \frac{2}{6}

(b)

\frac{1}{2} and \frac{2}{1}

(c)

\frac{5}{6} and \frac{7}{6}

(d)

\frac{2}{3} and \frac{4}{3}

Q. Find 10 rational numbers between

\frac{- 3}{4} and \frac{5}{6} .

Q. A rational number between

\frac{- 2}{3}

and

\frac{1}{2}

is
(a)

\frac{- 1}{6}

(b)

\frac{- 1}{12}

(c)

\frac{- 5}{6}

(d)

\frac{5}{6}

Q. Simplify each of the following and express each as a rational number:

{{(\frac{- 3}{4})}^{3} - {(\frac{- 5}{2})}^{3}} \times 4^{2}

Q. Which of the following rational number lies between irrational numbers

3.1488234.....

and

4.23213344333....

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Which of the following rational number lies between 56 and 43?

The correct option is A 76We first convert 56 and 43 to rational numbers with the same denominators. 4×23×2=86 Thus we have 76 which lies between 56 and 86

Which of the following rational number lies between $\frac{5}{6}$ and $\frac{4}{3}$ ?

The correct option is A $\frac{7}{6}$
We first convert $\frac{5}{6}$ and $\frac{4}{3}$ to rational numbers with the same denominators.
$\frac{4 \times 2}{3 \times 2} = \frac{8}{6}$
Thus we have $\frac{7}{6}$ which lies between $\frac{5}{6}$ and $\frac{8}{6}$