Check whether the given fractions are equivalent: |
(a) \[\frac{5}{9},\frac{30}{54}\] |
(b) \[\frac{3}{10},\frac{12}{50}\] |
(c) \[\frac{7}{13},\frac{5}{11}\] |
Answer:
By the cross multiplication, we have (a) From \[\frac{5}{9},\frac{30}{54}\] \[5\times 54=270\] and \[30\times 9=270\] So, \[5\times 57=30\times 9\] Thus \[\frac{5}{9}\] and \[\frac{30}{54}\] are equivalent fractions. (b) From \[\frac{3}{10},\frac{12}{50}\] \[3\times 50=150\] and \[10\times 12=120\] So, \[3\times 50\ne 10\times 12\] Thus \[\frac{3}{10}\] and \[\frac{12}{50}\] are not equivalent fractions. (c) From \[\frac{7}{13},\frac{5}{11}\] \[7\times 11=77\] and \[13\times 5=65\] So, \[7\times 11\ne 13\times 5\] Thus \[\frac{7}{13}\] and \[\frac{5}{11}\] are not equivalent fractions.
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