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3 years ago

14

Give your answer as mixed fraction and simplest from .

1 answer:

sergiy2304 [10]3 years ago

3 0

Add the whole numbers.
Then add the numerators.

2 2/6 + 3 2/6 = 5 4/6

Simplify the fraction

5 2/3

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3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

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We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

<em>Multiplying</em> both sides by <em>10</em> ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be <em>further written</em> as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

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2 years ago