Question

Rewrite each division problem as a multiplication problem and solve. 6.3 divided 0.9 equals what

Answer 1

You can write both numbers as fractions:

$6.3=\dfrac{63}{10},\quad 0.9=\dfrac{9}{10}$

Dividing by a fraction is the same as multiplying by its inverse, so we have

$\dfrac{63}{10}\div \dfrac{9}{10}=\dfrac{63}{10}\cdot\dfrac{10}{9}$

We can cross-simplify the 10's and we have

$\dfrac{63}{10}\cdot\dfrac{10}{9}=\dfrac{63}{9}=7$