9514 1404 393
Answer:
2/3
Step-by-step explanation:
There are a couple of different ways that division of fractions can be done.
1) "invert and multiply"
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]
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2) use the numerators when the denominators are the same
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]
