Answer:
[tex]\frac{20}{9}[/tex] or 2 [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1. Set up the problem : 2 ÷ [tex]\frac{9}{10}[/tex]
2. Since 2 is a whole number we can give it a denominator of 1, transforming the problem to: [tex]\frac{2}{1}[/tex] ÷ [tex]\frac{9}{10}[/tex]
3. Change the division sign into a multiplication sign.
[tex]\frac{2}{1}[/tex] × [tex]\frac{9}{10}[/tex]
4. Find the reciprocal by swapping the numerator and denominator on the second fraction
[tex]\frac{2}{1}[/tex] × [tex]\frac{10}{9}[/tex]
5. Multiply fractions
[tex]\frac{2}{1}[/tex] × [tex]\frac{10}{9}[/tex] = [tex]\frac{20}{9}[/tex] or 2 [tex]\frac{2}{9}[/tex]
