0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Convert the following fractions into equivalent like fractions:
$$(i) \dfrac{3}{4}, \dfrac{5}{6}, \dfrac{7}{8} \ \ (ii) \dfrac{7}{25}, \dfrac{9}{10}, \dfrac{19}{40}$$

Solution
Verified by Toppr

L.C.M = $$2 \times 2 \times 2 \times 3= 24$$
$$\dfrac{3}{4} = \dfrac{3 \times 6 }{4 \times 6} = \dfrac{18}{24}$$
$$\dfrac{5}{6} = \dfrac{5 \times 4}{6 \times 4} = \dfrac{ 20}{24}$$
$$\dfrac{ 7}{8}= \dfrac{ 7 \times 3}{8 \times 3} = \dfrac{ 21}{24}$$
Thus, the given fractions are equivalent to
$$\dfrac{18}{24}, \dfrac{20 }{24} $$ and $$\dfrac{21}{24}$$ respectively.
(ii) $$\dfrac{7}{25}, \dfrac{9}{10}, \dfrac{19}{40}$$

First, we find L.C.M. of $$25, 10$$ and $$40$$
$$\therefore$$ L.C.M. is $$5 \times 5 \times 2 \times 2 \times 2= 200$$
$$\therefore \dfrac{7}{25} = \dfrac{7 \times 8}{25 \times 8}= \dfrac{56}{200}$$
$$\dfrac{9}{10} = \dfrac{9 \times 20}{10 \times 20}= \dfrac{180}{200}$$
$$\dfrac{19}{40} = \dfrac{19 \times 5}{95 \times 200}= \dfrac{95}{200}$$
Thus, the given fractions are equivalent to
$$\dfrac{56}{200}, \dfrac{180}{200}$$ and $$ \dfrac{95}{200}$$ respectively.

Was this answer helpful?
8
Similar Questions
Q1
Convert the following fractions into equivalent like fractions:
$$(i) \dfrac{3}{4}, \dfrac{5}{6}, \dfrac{7}{8} \ \ (ii) \dfrac{7}{25}, \dfrac{9}{10}, \dfrac{19}{40}$$
View Solution
Q2
Convert 14,58,712and1324 into like fractions.
View Solution
Q3

Convert the following fractions into equivalent like fractions.

34,56,78.


View Solution
Q4

Convert the following unlike fractions to like fractions: 12,34,56


View Solution
Q5
Convert 14,58,712 and 1324 into like fractions.
View Solution