3 1/2 x 5/6= explian with numbers

3 1/2 * 5/6      

Transfom the mixed numbers into improper fraction, using this formula (can you see why it's correct?)

$$a\frac{b}{c}=\frac{ac + b}{c}$$       We get:

$$3\frac{1}{2}=\frac{3*2+1}{2}= \frac{7}{2}$$    Thus the whole expression is:

$$\frac{7}{2}*\frac{5}{6}$$      Multiply numerator (top) by numerator, and denominator (bottom) by denominator:

$$\frac{7}{2}*\frac{5}{6}= \frac{7*5}{2*6}=\frac{35}{12}$$  

3 1/2 x 5/6=

Converting the mixed number to an "improper" fraction, we have 3 + 1/2  = 7/2

Now, just multiply 7/2 x 5/6 = 35/12 .....in mixed number terms, we have 2 + 11/12