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Mathematics

Grade-4-

Easy

Question

The pair of fractions among the following that are not equivalent is

$\frac{2}{3} and \frac{12}{18}$
$\frac{4}{5} and \frac{40}{50}$
$\frac{1}{2} and \frac{2}{3}$
$\frac{7}{6} and \frac{14}{12}$

hint Hint:

To find out whether the pair of fraction is equivalent we have to do cross multiplication. For this we have to multiply the numerator of first fraction and the denominator of second, and numerator of second fraction to the denominator of first. If the products are equal the fractions are equivalent and vice versa.

The correct answer is: $1 half text and end text 2 over 3$

a. $2 over 3$ and $12 over 18$
2 $cross times$ 18 12 $cross times$ 3
= 36 = 36
As the cross multiplication of both fractions are equal. So its an equivalent fraction.
b. $4 over 5$ and $40 over 50$
4 $cross times 50$ $40 cross times 5$
= 200 = 200
As the cross multiplication of both fraction are equal. So its an equivalent fraction.
c. $1 half space a n d space 2 over 3$
$1 cross times 3$ $2 cross times 2$
= 3 = 4
as the cross multiplication of both fractions are not equal. So its not an equivalent fraction.
d. $7 over 6 space a n d 14 over 12$
$7 cross times 12$ 14 $cross times 6$
= 84 = 84
as the cross multiplication of both fractions are equal. So its an equivalent fraction.
Therefore the pair of fraction which is not an equivalent fraction is $fraction numerator 1 over denominator 2 space end fraction space a n d space 2 over 3$ .

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