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. Express (2x-3)/(3)-(x-4)/(4) as a single fraction

Pergunta

. Express (2x-3)/(3)-(x-4)/(4) as a single fraction

. Express (2x-3)/(3)-(x-4)/(4) as a single fraction

Solução

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EstevãoVeterano · Tutor por 12 anos

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To express the given expression as a single fraction, we need to find a common denominator for the two fractions.<br /><br />The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.<br /><br />Now, we can rewrite the expression with the common denominator of 12:<br /><br />$\frac{2x-3}{3} - \frac{x-4}{4} = \frac{4(2x-3)}{12} - \frac{3(x-4)}{12}$<br /><br />Simplifying the numerators:<br /><br />$\frac{8x-12}{12} - \frac{3x-12}{12} = \frac{8x-12 - (3x-12)}{12} = \frac{8x-12 - 3x + 12}{12} = \frac{5x}{12}$<br /><br />Therefore, the expression $\frac{2x-3}{3} - \frac{x-4}{4}$ can be expressed as a single fraction $\frac{5x}{12}$.
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