Question

convert 4 / 7 , 8/9 and 2/11 into like fractions ​

Answer 1

Answer:

396/693,616/693,126/693

Step-by-step explanation:

L.C.M of 7,9,11 = 693

4/7 × 99/99= 396/693

8/9 × 77/77= 616/693

2/11 × 63/63 = 126/693

Answer 2

Answer:

The like fractions of $\frac{4}{7} ,\frac{8}{9} and \frac{2}{11}$ are  $\frac{396}{693}$,  $\frac{616}{693}$ and   $\frac{126}{693}$

Step-by-step explanation:

Given fractions are

$\frac{4}{7} ,\frac{8}{9} and \frac{2}{11}$

To find,

The like fractions of the given fractions

Recall the concept

The like fractions with the same denominators are called like fractions

Solution:

We have the fractions $\frac{4}{7} ,\frac{8}{9} and \frac{2}{11}$

To find the like fractions we need to make the denominators of these fractions the same

The common denominator  = LCM (7,9,11)

Since 7,9,11 are coprime numbers, the LCM of 7,9 and 11 = 693

Hence we have,

$\frac{4}{7}$ = $\frac{4}{7}$ ×$\frac{11X9}{11X9}$ = $\frac{4X11X9}{693}$ =  $\frac{396}{693}$

$\frac{8}{9}$ =  $\frac{8}{9}$ × $\frac{11X7}{11X7}$ =$\frac{8X11X7}{693}$ = $\frac{616}{693}$

$\frac{2}{11}$ = $\frac{2}{11}$ × $\frac{7X9}{7X9}$ =$\frac{2X7X9}{693}$ = $\frac{126}{693}$

∴ The like fractions of $\frac{4}{7} ,\frac{8}{9} and \frac{2}{11}$ are  $\frac{396}{693}$,  $\frac{616}{693}$ and   $\frac{126}{693}$

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