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Nitella [24]
3 years ago
9

1/2x + 2/3 = 3/4Find the xX=??

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer: x=\frac{1}{6}

Step-by-step explanation:

To find x, we want to isolate x.

\frac{1}{2}x+\frac{2}{3} =\frac{3}{4}           [subtract both sides by \frac{2}{3}]

\frac{1}{2} x=\frac{9}{12} -\frac{8}{12}        [subtract]

\frac{1}{2} x=\frac{1}{12}                [multiply both sides by 2]

x=\frac{2}{12} =\frac{1}{6}

Now, we know that x=\frac{1}{6}.

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----------------------------------------------------------------
Method 1
 ----------------------------------------------------------------
Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}


----------------------------------------------------------------
Method 2
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Lets change all to the same denominators 

\dfrac{2}{4}  =  \dfrac{2 \times 3}{4 \times 3}  =  \dfrac{6}{12}

\dfrac{2}{3}  =  \dfrac{2 \times 4}{3 \times 4}  =  \dfrac{8}{12}

\dfrac{2}{6}  =  \dfrac{2 \times 2}{6 \times 2}  =  \dfrac{4}{12}

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
\dfrac{2}{6} \  , \   \dfrac{2}{4}  \ , \   \dfrac{2}{3}
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