What is the quotient of 42/3 divided by 4 1/5

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

$\large\boxed{4\dfrac{2}{3}\div4\dfrac{1}{5}=1\dfrac{1}{9}}$

Step-by-step explanation:

First step:

Convert the mixed numbers to the improper fractions:

$4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\4\dfrac{1}{5}=\dfrac{4\cdot5+1}{5}=\dfrac{21}{5}$

Divide by a fraction is the same as multiply by the reciprocal of this fraction.

Therefore:

$4\dfrac{2}{3}\div4\dfrac{1}{5}=\dfrac{14}{3}\div\dfrac{21}{5}=\dfrac{14\!\!\!\!\!\diagup^2}{3}\cdot\dfrac{5}{21\!\!\!\!\!\diagup_3}=\dfrac{2\cdot5}{3\cdot3}=\dfrac{10}{9}=1\dfrac{1}{9}$

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