Question

rational numbers between 3/4, 5/7 class 9​

Answer 1

Rational Numbers=$\frac{201}{280} . \frac{202}{280} . \frac{203}{280} . \frac{204}{280} . \frac{205}{280} . \frac{206}{280} . \frac{207}{280} .\frac{208}{280} . \frac{209}{280}$

Step-by-step explanation:

Question-

• To find rational numbers between $\frac{3}{4},\frac{5}{7}$.

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Answer-

$\implies$ Step - 1-Making denominators equal through LCM.

LCM= 2×2×7= 28.

$\frac{3}{4} = \frac{3}{4} \times \frac{7}{7} = \frac{21}{28} \\ \\ \frac{5}{7} \times \frac{4}{4} = \frac{20}{28}$

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$\implies$ Extending Values- The values could be extended by multiplying any number by both numerators and denominators.

$\frac{21}{28} \times \frac{10}{10} = \frac{210}{280} \\ \\ \frac{20}{280} \times \frac{10}{10} = \frac{200}{280}$

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$\implies$ Required Numbers -

$\frac{201}{280} . \frac{202}{280} . \frac{203}{280} . \frac{204}{280} . \frac{205}{280} . \frac{206}{280} . \frac{207}{280} .\frac{208}{280} . \frac{209}{280}$

Answer 2

Step-by-step explanation:

• Making denominators equal

3/4 = 21/28

5/7 = 20/28

• Multiplying 10/10 to both numbers

21/28 × 10/10 = 210/280

20/28 × 10/10 = 200/280

Rational numbers between 210/280 and 200/280 are 201/280, 202/280, 203/280, 204/280, 205/280, 206/280, 207/280, 208/280, 209/280.

Rational numbers between 3/4 and 5/7 are 201/280, 202/280, 203/280, 204/280, 205/280, 206/280, 207/280, 208/280, 209/280.

Hope it helps u ☺