Question

choose yes or no to tell if the fraction \\(\frac{1}{2}\\) will make each equation true.\\(\underline{quad}+\frac{9}{9}=\frac{3}{2}\\) \\(\frac{1}{5}+\underline{quad}=\frac{1}{7}\\)\\(\frac{1}{42}+\frac{10}{21}=\underline{quad}\\) \\(\frac{1}{26}+\frac{6}{13}=\underline{quad}\\)does the fraction \\(\frac{1}{2}\\) make the equation \\(\underline{quad}+\frac{9}{9}=\frac{3}{2}\\) true?\\(\circ\\) yes\\(\circ\\) no

Explanation:

Step1: Simplify \(\frac{9}{9}\)

\(\frac{9}{9} = 1\)

Step2: Substitute the fraction \(\frac{1}{2}\) into the equation

Left - hand side: \(\frac{1}{2}+1=\frac{1 + 2}{2}=\frac{3}{2}\)
Right - hand side: \(\frac{3}{2}\)
Since left - hand side equals right - hand side when the blank is filled with \(\frac{1}{2}\)

Answer:

Yes