Question

8. A fraction a/b is greater than c/d if the cross products​

Answer 1

this is your answer......

Answer 2

SOLUTION

TO DETERMINE

A fraction a/b is greater than c/d if the cross products

CONCEPT TO BE IMPLEMENTED

$\displaystyle \sf{ Fraction = \frac{ Numerator \: }{Denominator} \: }$

If two fractions are given then Fraction 1 > Fraction 2

If Numerator of Fraction 1 × Denominator of Fraction 2 > Numerator of Fraction 2 × Denominator of Fraction 1

EVALUATION

$\displaystyle \sf{Here \: the \: two \: given \: fractions \: are \: \frac{a}{b} \: \: and \: \: \frac{c}{d} }$

So

Numerator of Fraction 1 = a

Denominator of Fraction 1 = b

Numerator of Fraction 2 = c

Denominator of Fraction 2 = d

So by the cross multiplication rule

$\displaystyle \sf{ \frac{a}{b} \: \: > \: \: \frac{c}{d} }$

If Numerator of Fraction 1 × Denominator of Fraction 2 > Numerator of Fraction 2 × Denominator of Fraction 1

$\implies \sf{ ad > bc\: }$

For example

We consider two fractions

$\displaystyle \sf{ \frac{9}{8} \: \: and \: \: \frac{8}{9} }$

$\sf{Since \: \: (9 \times 9) > (8 \times 8) \: \: ( \because \: 81 > 64)}$

So

$\displaystyle \sf{ \frac{9}{8} \: \: > \: \: \frac{8}{9} }$

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LEARN MORE FROM BRAINLY

without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion

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