frac{5}{6} div frac{6}{7} times ? - frac{8}{9 | vedclass

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Question

(B) Let the missing value be $x$. The equation is: $\frac{5}{6} \div \frac{6}{7} 	imes x - \frac{8}{9} \div \frac{8}{5} + \frac{3}{4} 	imes \frac{10

Vedclass · Accepted Answer

$\frac{6}{7}$

Vedclass · Answer

(B) Let the missing value be $x$. The equation is: $\frac{5}{6} \div \frac{6}{7} 	imes x - \frac{8}{9} \div \frac{8}{5} + \frac{3}{4} 	imes \frac{10}{3} = \frac{25}{9}$.Applying the $BODMAS$ rule,we first solve the divisions and multiplications:$\frac{5}{6} 	imes \frac{7}{6} 	imes x - \frac{8}{9} 	imes \frac{5}{8} + \frac{3}{4} 	imes \frac{10}{3} = \frac{25}{9}$.Simplifying each term:$\frac{35}{36} x - \frac{5}{9} + \frac{5}{2} = \frac{25}{9}$.Rearranging to solve for $x$:$\frac{35}{36} x = \frac{25}{9} + \frac{5}{9} - \frac{5}{2}$.$\frac{35}{36} x = \frac{30}{9} - \frac{5}{2} = \frac{10}{3} - \frac{5}{2}$.$\frac{35}{36} x = \frac{20 - 15}{6} = \frac{5}{6}$.$x = \frac{5}{6} 	imes \frac{36}{35} = \frac{6}{7}$.

$\frac{5}{6} \div \frac{6}{7} \times ? - \frac{8}{9} \div 1 \frac{3}{5} + \frac{3}{4} \times 3 \frac{1}{3} = 2 \frac{7}{9}$

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