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 \\(\frac{1}{26}+\frac{6}{13}=\underline{quad}\\) true?\\(\circ\\) yes\\(\circ\\) noclick to select your answer and then click check answer.

Explanation:

Step1: Simplify the second fraction

Convert $\frac{6}{13}$ to a fraction with denominator 26. Multiply numerator and denominator by 2: $\frac{6\times2}{13\times2}=\frac{12}{26}$.

Step2: Add the two fractions

Add $\frac{1}{26}$ and $\frac{12}{26}$: $\frac{1 + 12}{26}=\frac{13}{26}$.

Step3: Simplify the result

Simplify $\frac{13}{26}$ by dividing numerator and denominator by 13: $\frac{13\div13}{26\div13}=\frac{1}{2}$.

Answer:

Yes