# Question #efac1

Oct 8, 2017

Malia

#### Explanation:

It would be easier to compare the two amounts if the fractions have the same denominator. To do this, we:

- Convert the mixed fractions to improper fractions

Malia:
$1 \frac{1}{3} = \frac{4}{3}$

John:
$1 \frac{2}{5} = \frac{7}{5}$

- Find the LCD (Lowest Common Denominator) and convert the fractions accordingly

LCD $= 3 \cdot 5 = 15$

Malia:
$\frac{4}{3} = \frac{5 \cdot 4}{15} = \frac{20}{15}$

John:
$\frac{7}{5} = \frac{3 \cdot 7}{15} = \frac{21}{15}$

Since, we know they have the same amount of seeds initially, we can just compare the amounts left to see who ate more. The less amount left, the more that person ate .

$\frac{20}{15} < \frac{21}{15}$

$\therefore$Malia ate more sunflower seeds.