# Sandra needs 4 1/4 cups of flour for one kind of cookie and 3 1/8 cups for another kind. How much would she need for both kinds?

Dec 14, 2016

$\frac{59}{8}$ or $7 \frac{3}{8}$ cups.

#### Explanation:

To solve this we must add: $4 \frac{1}{4} + 3 \frac{1}{8}$

First, we must convert the Mixed Fractions to Improper Fractions. To do this we must multiply each integer by the appropriate form of $1$ and then add this to the fraction:

$\left(\left(\frac{4}{4} \times 4\right) + \frac{1}{4}\right) + \left(\left(\frac{8}{8} \times 3\right) + \frac{1}{8}\right)$

$\left(\frac{16}{4} + \frac{1}{4}\right) + \left(\frac{24}{8} + \frac{1}{8}\right)$

$\frac{17}{4} + \frac{25}{8}$

Next we must get each equation over a common denominator (in this case 8) by multiply the fraction by the appropriate form of $1$ so we can add the fractions:

$\left(\frac{2}{2} \times \frac{17}{4}\right) + \frac{25}{8}$

$\frac{34}{8} + \frac{25}{8}$

$\frac{34 + 25}{8}$

$\frac{59}{8}$

or

$\frac{56 + 3}{8}$

$\frac{56}{8} + \frac{3}{8}$

$7 + \frac{3}{8}$

$7 \frac{3}{8}$