Question

$\frac{5}{6} \times | \frac{7}{12} + \frac{8}{9} | \\ \\ ans = 4\frac{1}{4}$
using distributive property

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Answer 1

Answer:

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Step-by-step explanation:

$\huge\boxed{ \fcolorbox{red}{lime}{your ans}}$

$\sf \red{ \frac{5}{6} \times ( \frac{7}{12 } + \frac{8}{9} )} \\ = > \sf \blue{ \frac{5}{6} \times \frac{21 + 32}{36} } \\ = > \sf \purple{ \frac{5}{6} \times \frac{53}{36} } \\ = > \sf \green{ \frac{265}{216} } \\ = > \sf \orange{1.2268}$

$\large\boxed{ \fcolorbox{red}{blue}{pls \: follow \: me}}$

$\large\boxed{ \fcolorbox{purpl}{orange}{mark \: as \: brainlist}}$

Answer 2

Answer:

AM I RIGHT ...

.. HOPE IM RIGHT

Step-by-step explanation:

Using distributive property,

5/6 * (7/12 + 8/9) = 5/6 * (7/12) + 5/6 * (8/9)

= (5/6) * (7/12) + (5/6) * (8/9)

= (5 * 7) / (6 * 12) + (5 * 8) / (6 * 9)

= 35/72 + 40/54

Combine the two fractions by finding the least common multiple of the denominators:

LCM (72,54) = 216

So, 35/72 = (35 * 3)/(72 * 3) = 105/216

And, 40/54 = (40 * 4)/(54 * 4) = 160/216

So,

105/216 + 160/216 = 265/216.

Therefore,

5/6 * (7/12 + 8/9) = 265/216.