anjali has three by fifth cup of brown sugar the recipe for carrot cake requires five by seventh cup of brown sugar. does she have enough brown sugar for the cake. explain.

Fraction of cup of brown sugar that Anjali had = $\frac{3}{5}$ 


Fraction of cup of brown sugar needed to make cake  = $\frac{5}{7}$ 

Now to check whether she have enough brown sugar for cake or not we will compare both fractions. .

First we make same denominator for both fraction , As : 

$\frac{3}{5}$ $\times \frac{7}{7}$  = $\frac{21}{35}$  



$\frac{5}{7}$ $\times \frac{5}{5}$  = $\frac{25}{35}$  , 

Now as we can see that 21  <  25  so ,

$\frac{21}{35}<\frac{25}{35}$

$\frac{3}{5}<\frac{5}{7}$

Anjali doesn't have enough brown sugar for carrot cake