Rewrite the equation below so that it does not have fractions-2-3x - 4 - 5-6Do not use decimals in your answer-

Rewriting the given equation:Given, the equation is 2/3x + 4 = 5/6Taking the LCM of the given expression,2x + 12/3 = 5/6Cross multiplying we get,⇒ 6(2x + 12) = ...

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Standard VIII

Mathematics

Equations Reducible to the Linear Form

Rewrite the e...

Question

Rewrite the equation below so that it does not have fractions.
$\frac{2}{3} x + 4 = \frac{5}{6}$
Do not use decimals in your answer.

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Solution

Rewriting the given equation:
Given, the equation is $\frac{2}{3} x + 4 = \frac{5}{6}$
Taking the $L C M$ of the given expression,
$\frac{2 x + 12}{3} = \frac{5}{6}$
Cross multiplying we get,
$\Rightarrow 6 (2 x + 12) = 5 (3) \Rightarrow 12 x + 72 = 15 \Rightarrow 57 + 12 x = 0$
Dividing throughout by common factor $3$ ,
$4 x + 19 = 0$
Hence, the required equation is $4 x + 19 = 0$ .

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Similar questions

Rewrite $\frac{3}{4} x + 2 = \frac{9}{10}$ so that it doesn’t have fractions.

Solve the equation $5 x^{2} - 3 x - 4 = 0$ and give your answer to correct two decimals.

Your friend solved the equation in the box shown. What should your friend do to correct the error that he made $?$

\begin{array}{rcl} - \frac{x}{3} + \frac{2}{5} & = & - \frac{7}{15} \\ - \frac{x}{3} + \frac{2}{5} - \frac{2}{5} & = & - \frac{7}{15} - \frac{2}{5} \\ - \frac{x}{3} & = & - \frac{13}{15} \\ 3 ∙ (- \frac{x}{3}) & = & 3 ∙ (- \frac{13}{15}) \\ x & = & - 2 \frac{3}{5} \end{array}

(a)A fraction $\frac{a}{b}$ can be interpreted as $a \div b$ . Use a calculator to convert each unit fraction to a decimal. Do some of the decimals look different than the others? Explain.

$\frac{1}{2} \frac{1}{3} \frac{1}{4} \frac{1}{5} \frac{1}{6} \frac{1}{7} \frac{1}{8} \frac{1}{9} \frac{1}{10} \frac{1}{11} \frac{1}{12}$

(b) Compare & contrast the fractions in part (a) with the fractions you wrote in Exploration 1. What conclusions can you make?

(c) Does every fraction have a decimal form that either terminates or repeats? Explain your reasoning

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Rewrite the equation below so that it does not have fractions.23x+4=56Do not use decimals in your answer.

Rewriting the given equation:Given, the equation is 23x+4=56Taking the LCM of the given expression,2x+123=56Cross multiplying we get,⇒62x+12=53⇒12x+72=15⇒57+12x=0Dividing throughout by common factor 3,4x+19=0Hence, the required equation is 4x+19=0.

Rewrite the equation below so that it does not have fractions.
$\frac{2}{3} x + 4 = \frac{5}{6}$
Do not use decimals in your answer.