How do you simplify $\frac{7}{8} \cdot 3 \frac{1}{5}$ $7/8*3 1/5$ ?

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Answer 1 · 2016-11-11T14:06:55

We first make an improper fraction of $3 \frac{1}{5}$ $3 1/5$

$3 \frac{1}{5} = 3 \times \frac{5}{5} + \frac{1}{5} = \frac{15 + 1}{5} = \frac{16}{5}$ $3 1/5=3xx5/5+1/5=(15+1)/5=16/5$

We now have $\frac{7}{8} \times \frac{16}{5} = \frac{7 \times 16}{8 \times 5}$ $7/8xx16/5=(7xx16)/(8xx5)$

We can only cancel out a $8$ $8$ :
$(7xx2xxcancel8)/(cancel8xx5)=(7xx2)/(5)=14/5$
This can be written as $2 4/5$

How do you simplify 7/8*3 1/578⋅3157/8*3 1/5?