Question

problem #3
danica has $20\frac{3}{4}$ pounds of slime for her business. she made $11\frac{1}{2}$ more pounds of slime. how many pounds of slime does danica have altogether?
show your work:

Explanation:

Step1: Convert mixed numbers to improper fractions

$20\frac{3}{4} = \frac{20\times4 + 3}{4} = \frac{83}{4}$
$11\frac{1}{2} = \frac{11\times2 + 1}{2} = \frac{23}{2}$

Step2: Find common denominator for addition

$\frac{23}{2} = \frac{23\times2}{2\times2} = \frac{46}{4}$

Step3: Add the two fractions

$\frac{83}{4} + \frac{46}{4} = \frac{83 + 46}{4} = \frac{129}{4}$

Step4: Convert back to mixed number

$\frac{129}{4} = 32\frac{1}{4}$

Answer:

$32\frac{1}{4}$ pounds