Question

1. 2\frac{1}{12}-\frac{1}{4}

show the butterfly method for bonus points or just solve. circle your answer!

Explanation:

Step1: Find a common denominator

The denominators are \(12\) and \(4\). The least - common denominator (LCD) of \(12\) and \(4\) is \(12\) since \(12\div4 = 3\). Rewrite \(\frac{1}{4}\) with a denominator of \(12\): \(\frac{1\times3}{4\times3}=\frac{3}{12}\).

Step2: Subtract the fractions

Now we have \(\frac{2}{12}-\frac{3}{12}\). Using the formula \(\frac{a}{c}-\frac{b}{c}=\frac{a - b}{c}\) (where \(a = 2\), \(b = 3\), and \(c = 12\)), we get \(\frac{2-3}{12}\).

Step3: Simplify the result

\(2-3=-1\), so \(\frac{2 - 3}{12}=-\frac{1}{12}\).

Answer:

\(-\frac{1}{12}\)