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subtract. \\(\\frac{2}{3} - \\frac{5}{12} = \\square\\) submit

Question

subtract.
\\(\frac{2}{3} - \frac{5}{12} = \square\\)
submit

Explanation:

Step1: Find a common denominator

The denominators are 3 and 12. The least common denominator is 12. Rewrite $\frac{2}{3}$ with denominator 12: $\frac{2\times4}{3\times4}=\frac{8}{12}$.

Step2: Subtract the fractions

Now subtract $\frac{5}{12}$ from $\frac{8}{12}$: $\frac{8}{12}-\frac{5}{12}=\frac{8 - 5}{12}=\frac{3}{12}$.

Step3: Simplify the result

Simplify $\frac{3}{12}$ by dividing numerator and denominator by their greatest common divisor, which is 3: $\frac{3\div3}{12\div3}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$