Question

question 4
write the following fractions in order from smallest to largest.
\\(\frac{3}{10}\\), \\(\frac{11}{20}\\), \\(\frac{7}{25}\\), \\(\frac{3}{5}\\)
\\(\boxed{} < \boxed{} < \boxed{} < \boxed{}\\)

Explanation:

Step1: Find common denominator

The least common multiple of 10, 20, 25, 5 is 100.

Step2: Convert each fraction

$\frac{3}{10} = \frac{3\times10}{10\times10} = \frac{30}{100}$
$\frac{11}{20} = \frac{11\times5}{20\times5} = \frac{55}{100}$
$\frac{7}{25} = \frac{7\times4}{25\times4} = \frac{28}{100}$
$\frac{3}{5} = \frac{3\times20}{5\times20} = \frac{60}{100}$

Step3: Order numerators

Compare 28, 30, 55, 60: $28 < 30 < 55 < 60$

Step4: Map back to original fractions

Match the converted fractions to their original forms.

Answer:

$\frac{7}{25} < \frac{3}{10} < \frac{11}{20} < \frac{3}{5}$