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5. fill in the boxes to complete the addition. \\(\\frac{3}{5} + \\frac…

Question

  1. fill in the boxes to complete the addition.

\\(\frac{3}{5} + \frac{1}{4} = \frac{\square}{20} + \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator for \(\frac{3}{5}\)

To get denominator 20 for \(\frac{3}{5}\), multiply numerator and denominator by 4: \(\frac{3\times4}{5\times4}=\frac{12}{20}\)

Step2: Find common denominator for \(\frac{1}{4}\)

To get denominator 20 for \(\frac{1}{4}\), multiply numerator and denominator by 5: \(\frac{1\times5}{4\times5}=\frac{5}{20}\)

Step3: Add the two fractions

Add \(\frac{12}{20}\) and \(\frac{5}{20}\): \(\frac{12 + 5}{20}=\frac{17}{20}\)

Answer:

\(\frac{3}{5}+\frac{1}{4}=\frac{\boldsymbol{12}}{20}+\frac{\boldsymbol{5}}{\boldsymbol{20}}=\frac{\boldsymbol{17}}{\boldsymbol{20}}\)