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3/4 × 8/9 ÷ 2/3 ÷ 6/5

June 15, 2026Mathematics

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Answer

\frac{5}{6}

3 steps

यहाँ आपके प्रश्न का हल दिया गया है:

$\frac{3}{4} \times \frac{8}{9} \div \frac{2}{3} \times \frac{5}{6}$

भाग को गुणा में बदलें, भाजक के व्युत्क्रम (reciprocal) का उपयोग करके।
$\frac{3}{4} \times \frac{8}{9} \times \frac{3}{2} \times \frac{5}{6}$
अंशों और हरों में सामान्य गुणनखंडों को रद्द करें।
$\frac{\cancel{3}}{4} \times \frac{8}{\cancel{9}^{\,3}} \times \frac{3}{2} \times \frac{5}{6} = \frac{1}{4} \times \frac{8}{3} \times \frac{3}{2} \times \frac{5}{6}$ $\frac{1}{\cancel{4}} \times \frac{\cancel{8}^{\,2}}{3} \times \frac{3}{2} \times \frac{5}{6} = \frac{1}{1} \times \frac{2}{3} \times \frac{3}{2} \times \frac{5}{6}$ $\frac{1}{1} \times \frac{\cancel{2}}{\cancel{3}} \times \frac{\cancel{3}}{\cancel{2}} \times \frac{5}{6} = \frac{1}{1} \times \frac{1}{1} \times \frac{1}{1} \times \frac{5}{6}$
शेष अंशों और हरों को गुणा करें।
$\frac{1 \times 1 \times 1 \times 5}{1 \times 1 \times 1 \times 6} = \frac{5}{6}$
उत्तर: $\frac{5}{6}$

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