7 1/2 divided by 1 9/10 simplified

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

7 0

$\frac{15}{2} \times \frac{10}{19} = \frac{75}{19}$

$3 \frac{18}{19}$

Nina [5.8K]3 years ago

4 0

Answer:

$\large\boxed{3\dfrac{18}{19}}$

Step-by-step explanation:

$\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}$

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