Question

consider these two fractions. convert them into a pair of fractions with a common denominator\\(\frac{1}{2}\\) and \\(\frac{7}{10}\\)\
enter the correct numbers in the boxes.\
show hints\
\\(\frac{1}{2} = \frac{\square}{\square} \times \frac{1}{\square} = \frac{\square}{\square}\\) \\(\frac{7}{10} = \frac{1}{1} \times \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 2 and 10 is 10.

Step2: Convert $\frac{1}{2}$

Multiply numerator and denominator by 5:
$\frac{1}{2} = \frac{5}{5} \times \frac{1}{2} = \frac{5}{10}$

Step3: Convert $\frac{7}{10}$

Multiply by $\frac{1}{1}$ (no change needed):
$\frac{7}{10} = \frac{1}{1} \times \frac{7}{10} = \frac{7}{10}$

Answer:

For $\frac{1}{2}$: $\frac{5}{5} \times \frac{1}{2} = \frac{5}{10}$
For $\frac{7}{10}$: $\frac{1}{1} \times \frac{7}{10} = \frac{7}{10}$