Question

6 3/10 divided by 9/5

Answer 1

60/3 ÷ 9/5
60/3 × 5/9
300/27
= 100/9
= $11 \frac{1}{9}$

Answer 2

6$\frac{3}{10}$ ÷ $\frac{9}{5}$ → First step is to make all the fractions improper.

$\frac{63}{10}$ ÷ $\frac{9}{5}$ → Now you want to flip the second fraction and multiply.

$\frac{63}{10}$ * $\frac{5}{9}$ → Multiply the fractions by multiplying the top numbers and then the bottom numbers. There is a simple trick I will explain later.

$\frac{315}{90}$ → Reduce this fraction to lowest terms (The largest factor in both is 45, so divide each side by 45)

$\frac{7}{2}$ → In decimals this is 3.5, in mixed fractions this is 3$\frac{1}{2}$, and in percent this is 350%.

The little trick is you can cancel out numbers with common factors on the diagonals during the multiplication of fractions.

$\frac{63}{10}$ * $\frac{5}{9}$

The 63 and 9 are on diagonals. They both have a common factor of 9, so divide both numbers by 9. Now the fractions looks like:

$\frac{7}{10}$ * $\frac{5}{1}$

The 10 and 5 are on diagonals. They both have a common factor of 5, so divide both numbers by 5. Now the multiplication looks like:

$\frac{7}{2}$ * $\frac{1}{1}$ → easily multiplies to $\frac{7}{2}$

Look how simple that was? The multiplication is already reduced into lowest terms. All you need to do is divide common factors.