Question

what is 9/45 divided by 7/42

Answer 1

6/5. simplify 9/45 to 1/5 and flip 7/42 to 42/7 and multiply 1/5 by 42/7 which would be 42/35 and simplify to 6/5

Answer 2

$first\ sipmlify\ the\ fractions:\\\dfrac{9}{45}=\dfrac{9:9}{45:9}=\dfrac{1}{5}\\\\\dfrac{7}{42}=\dfrac{7:7}{42:7}=\dfrac{1}{6}\\\\\dfrac{9}{45}:\dfrac{7}{42}=\dfrac{1}{5}:\dfrac{1}{6}=\dfrac{1}{5}\cdot\dfrac{6}{1}=\dfrac{1\cdot6}{5\cdot1}=\dfrac{6}{5}=\dfrac{5+1}{5}=\dfrac{5}{5}+\dfrac{1}{5}\\\\=1+\dfrac{1}{5}=\boxed{1\dfrac{1}{5}}$