9514 1404 393
Answer:
5/3
Step-by-step explanation:
You can divide fractions a couple of ways:
1. Invert the denominator and multiply
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]
2. Make both fractions have the same denominator and use the ratio of their numerators
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]