Question

¿Qué valor de

x

satisface

x- \frac{3}{4} = \frac{5}{12} - \frac{1}{3}?

What value of

x

satisfies

x- \frac{3}{4} = \frac{5}{12} - \frac{1}{3}?

\displaystyle -\frac{2}{3}

\displaystyle \frac{7}{36}

\displaystyle \frac{7}{12}

\displaystyle \frac{2}{3}

\displaystyle \frac{5}{6}

Primero simplifica el lado derecho usando el denominador

12

.

First simplify the right side using denominator

12

Después de hallar el lado derecho, suma

\frac34

a ambos lados.

After finding the right side, add

\frac34

to both sides

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El lado derecho es

\dfrac{5}{12}-\dfrac13=\dfrac{5}{12}-\dfrac4{12}=\dfrac1{12}

. Por lo tanto

x=\dfrac34+\dfrac1{12}=\dfrac9{12}+\dfrac1{12}=\dfrac56

. Así, E es la respuesta correcta.

The right side is

\dfrac{5}{12}-\dfrac13=\dfrac{5}{12}-\dfrac4{12}=\dfrac1{12}

. Thus

x=\dfrac34+\dfrac1{12}=\dfrac9{12}+\dfrac1{12}=\dfrac56

. Thus, E is the correct answer.