Question

Convert the following fractions into equivalent like fractions.​

Answer 1

Question

Convert the following fractions into equivalent like fractions.

$\tt \blue{ \looparrowright \frac{7}{5}. \frac{11}{30}} \\ \\ \tt \red{ \looparrowright\frac{7}{6}. \frac{9}{16}} \\ \\ \tt \green{\looparrowright\frac{5}{12}. \frac{19}{72}}$

Answer

For (i)

$\tt \blue{ \looparrowright \frac{7}{5}. \frac{11}{30}}$

The LCM of their denominator is 30.

Therefore,

$\tt \blue{ \looparrowright \frac{7 \times 6}{5 \times 6} = \frac{42}{30}}$

$\tt \blue{ The \: answer \: is \: \frac{42}{30}}$

For(ii)

$\tt \red{ \looparrowright\frac{7}{6}. \frac{9}{16}}$

The LCM of their denominator is 48

Therefore,

$\tt \red{ \looparrowright\frac{7 \times 8}{6 \times 8} = \frac{56}{48}}$

$\tt \red{The \: answer \: is \: \frac{56}{48}}$

For (iii)

$\tt \green{\looparrowright\frac{5}{12}. \frac{19}{72}}$

TheLCM of their denominator is 72

Therefore,

$\tt \green{\looparrowright\frac{5 \times 6}{12 \times 6} = \frac{30}{72}}$

$\tt \green{The \: answer \: is \:\frac{30}{72}}$

Therefore,

i)

$\tt \blue{ \Rsh \frac{42}{30}}$

ii)

$\tt \red{ \Rsh \frac{56}{48}}$

iii)

$\tt \green{ \Rsh\frac{30}{72}}$

Answer 2

Convert the following fractions into equivalent like fractions.

(i) $\dfrac{7}{5}$ , $\dfrac{11}{30}$

Firstly we will take the L.C.M of 5 and 30

L.C.M of 5 and 30 is 30 .

Now ,

$\dfrac{7}{5}$ = $\dfrac{7×6}{5×6}$ = $\dfrac{42}{30}$

$\dfrac{11}{30}$ = $\dfrac{11×1}{30×1}$ = $\dfrac{11}{30}$

Now they both are equivalent fractions

__________

(ii) $\dfrac{7}{6}$ , $\dfrac{9}{16}$

Firstly we will take the L.C.M of 6 and 16

L.C.M of 5 and 30 is 48 .

Now ,

$\dfrac{7}{6}$ = $\dfrac{7×8}{16×8}$ = $\dfrac{56}{48}$

$\dfrac{9}{16}$ = $\dfrac{9×3}{16×3}$ = $\dfrac{27}{48}$.

Now , they are equivalent fractions.

__________

(iii) $\dfrac{5}{12}$ , $\dfrac{19}{72}$

Firstly we will take the L.C.M of 5 and 30

L.C.M of 5 and 30 is 72

Now ,

$\dfrac{5}{12}$ = $\dfrac{5×6}{12×6}$ = $\dfrac{30}{72}$

$\dfrac{19}{72}$ = $\dfrac{19×1}{72×1}$ = $\dfrac{19}{72}$

Now , they are equivalent fractions.