multiply fractions

Question

Anna spends 2/5 of her money on a shirt. She then spends 4/9 of her remaining money on a pair of shoes. What fraction of her money is left?

Answer 1

Start with $m

subtract (2/5)m

Then subtract 4/9 of the (2/5)m

 

m - (2/5)m - [(4/9)(2/5)m]

 

m - (2/5)m - (8/45)m

Lowest common denominator is 45

 

(45/45)m - (18/45)m - (8/45)m

 

[(45-18-8)/45]m

 

(19/45)m

 

The fraction of her money left over is 19/45