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}\\) \\(\circ\\) no does the fraction \\(\frac{1}{2}\\) make the equation \\(\frac{1}{42} + \frac{10}{21} = \underline{quad}\\) true? \\(\circ\\) yes \\(\circ\\) no click to select your answer and then click check answer.

Explanation:

Step1: Simplify the second fraction

The equation is $\frac{1}{42} + \frac{10}{21} = \_\_\_$. First, simplify $\frac{10}{21}$ to have a denominator of 42. Multiply numerator and denominator by 2: $\frac{10\times2}{21\times2} = \frac{20}{42}$.

Step2: Add the two fractions

Now add $\frac{1}{42} + \frac{20}{42}$. Since the denominators are the same, add the numerators: $\frac{1 + 20}{42} = \frac{21}{42}$.

Step3: Simplify the result

Simplify $\frac{21}{42}$ by dividing numerator and denominator by 21: $\frac{21\div21}{42\div21} = \frac{1}{2}$.

Answer:

Yes