3 frac{1}{4} + 2 frac{1}{2} - 1 frac{5}{6} = | vedclass

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Question

(D) Let the missing value be $x$. The equation is $\frac{x^2}{10} + 1 \frac{5}{12} = 3 \frac{1}{4} + 2 \frac{1}{2} - 1 \frac{5}{6}$.Convert mixed frac

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(D) Let the missing value be $x$. The equation is $\frac{x^2}{10} + 1 \frac{5}{12} = 3 \frac{1}{4} + 2 \frac{1}{2} - 1 \frac{5}{6}$.Convert mixed fractions to improper fractions:$\frac{x^2}{10} + \frac{17}{12} = \frac{13}{4} + \frac{5}{2} - \frac{11}{6}$.Find a common denominator $(12)$ for the right side:$\frac{x^2}{10} + \frac{17}{12} = \frac{39}{12} + \frac{30}{12} - \frac{22}{12} = \frac{47}{12}$.Isolate the term with $x$:$\frac{x^2}{10} = \frac{47}{12} - \frac{17}{12} = \frac{30}{12} = \frac{5}{2}$.Solve for $x^2$:$x^2 = \frac{5}{2} 	imes 10 = 25$.Therefore,$x = \sqrt{25} = 5$.

$3 \frac{1}{4} + 2 \frac{1}{2} - 1 \frac{5}{6} = \frac{(?)^{2}}{10} + 1 \frac{5}{12}$

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