=(34× reciprocal of 98)× 12 =(34×89)× 12 =(3× 84× 9)× 12 =23× 12 =2× 123=2× 4=8 ...

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Standard VIII

Mathematics

Addition and Subtraction of Rational Numbers

Evaluate: 34...

Question

Evaluate: $(\frac{3}{4} \div \frac{9}{8}) \times 12$

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Solution

$= (\frac{3}{4} \times r e c i p r o c a l o f \frac{9}{8}) \times 12$

$= (\frac{3}{4} \times \frac{8}{9}) \times 12$

$= (\frac{3 \times 8}{4 \times 9}) \times 12$

$= \frac{2}{3} \times 12$

$= \frac{2 \times 12}{3} = 2 \times 4 = 8$

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Evaluate:(34÷98)×12

=(34×reciprocalof98)×12=(34×89)×12=(3×84×9)×12=23×12=2×123=2×4=8

Evaluate: $(\frac{3}{4} \div \frac{9}{8}) \times 12$

$= (\frac{3}{4} \times r e c i p r o c a l o f \frac{9}{8}) \times 12$

$= (\frac{3}{4} \times \frac{8}{9}) \times 12$

$= (\frac{3 \times 8}{4 \times 9}) \times 12$

$= \frac{2}{3} \times 12$

$= \frac{2 \times 12}{3} = 2 \times 4 = 8$