Question

compare the fractions using >, <, or =,
\\(\frac{7}{10}\\)
\\(\frac{9}{100}\\)
\\(\frac{12}{13}\\)
\\(\frac{11}{12}\\)

Explanation:

Step1: Convert to common denominator

$\frac{7}{10} = \frac{7 \times 10}{10 \times 10} = \frac{70}{100}$

Step2: Compare first pair of fractions

$\frac{70}{100} > \frac{9}{100}$, so $\frac{7}{10} > \frac{9}{100}$

Step3: Cross-multiply second fraction pair

$12 \times 12 = 144$, $11 \times 13 = 143$

Step4: Compare cross products

$144 > 143$, so $\frac{12}{13} > \frac{11}{12}$

Answer:

$\frac{7}{10} > \frac{9}{100}$
$\frac{12}{13} > \frac{11}{12}$