Question

Write 3 equivalent fractions of the following:-

a) 2/5
b) 3/4
c) 11/13
d) 7/9
e) 15/17​

Answer 1

Answer :

3 equivalent fractions of the following:-

★ a) $\dfrac{2}{5}$

= $\dfrac{2×2}{5×2}$ = $\dfrac{4}{10}$

= $\dfrac{4×2}{10×2}$ = $\dfrac{8}{20}$

= $\dfrac{8×2}{20×2}$ = $\dfrac{16}{40}$

That is,

$\dfrac{2}{5}$ = $\dfrac{4}{10}$ = $\dfrac{8}{20}$ = $\dfrac{16}{40}$

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★ a) $\dfrac{3}{4}$

= $\dfrac{3×2}{4×2}$ = $\dfrac{6}{8}$

= $\dfrac{6×2}{8×2}$ = $\dfrac{12}{16}$

= $\dfrac{12×2}{16×2}$ = $\dfrac{24}{32}$

That is,

$\dfrac{3}{4}$ = $\dfrac{6}{8}$ = $\dfrac{12}{16}$ = $\dfrac{24}{32}$

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★ a) $\dfrac{11}{13}$

= $\dfrac{11×2}{13×2}$ = $\dfrac{22}{26}$

= $\dfrac{22×2}{26×2}$ = $\dfrac{44}{52}$

= $\dfrac{44×2}{52×2}$ = $\dfrac{88}{104}$

That is,

$\dfrac{11}{13}$ = $\dfrac{22}{26}$ = $\dfrac{44}{52}$ = $\dfrac{88}{104}$

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★ a) $\dfrac{7}{9}$

= $\dfrac{7×2}{9×2}$ = $\dfrac{14}{18}$

= $\dfrac{14×2}{18×2}$ = $\dfrac{28}{36}$

= $\dfrac{28×2}{36×2}$ = $\dfrac{56}{72}$

That is,

$\dfrac{7}{9}$ = $\dfrac{14}{18}$ = $\dfrac{28}{36}$ = $\dfrac{56}{72}$

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★ a) $\dfrac{15}{17}$

= $\dfrac{15×2}{17×2}$ = $\dfrac{30}{34}$

= $\dfrac{30×2}{34×2}$ = $\dfrac{60}{68}$

= $\dfrac{60×2}{68×2}$ = $\dfrac{120}{136}$

That is,

$\dfrac{15}{17}$ = $\dfrac{30}{34}$ = $\dfrac{60}{68}$ = $\dfrac{120}{136}$

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