Question

find 4 1/5 x 7 2/3
a)28 2/15
b)28 3/10
c)32 1/5
d)32 3/5

Answer 1

We should change them into improper fractions instead of mixed numbers

\[4 \frac{ 1 }{ 5 } = \frac{ 21 }{ 5 }\]
and
\[7 \frac{ 2 }{ 3 } = \frac{ 23 }{ 3 }\]

Now we have

\[\frac{ 21 }{ 5 } \times \frac{ 23 }{ 3 }\]

So this comes out to

\[\frac{ 483 }{ 15 }\]

Can you turn this back into a mixed fraction?

Answer 2

To turn it back into a mixed fraction...you figure out how many times 15 goes into 483 evenly.....

this comes out to 32 because

32 times 15 = 480

so now we see what we have leftover....483 - 480 = 3

And we put that over the original denominator

so this is

\[32 \frac{ 3 }{ 15 }\]

But this can be simplified into

\[32 \frac{ 1 }{ 5 }\]