How do you multiply $6 \frac{2}{3} \cdot 3 \frac{3}{6}$ $6\frac { 2} { 3} \cdot 3\frac { 3} { 6}$ ?

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How do you multiply $6 \frac{2}{3} \cdot 3 \frac{3}{6}$ $6\frac { 2} { 3} \cdot 3\frac { 3} { 6}$ ?

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Answer 1 · 2017-05-27T00:00:15

The answer is $\frac{70}{3}$ $70/3$ when everything is done.

Explanation:

One method that would probably work out well for you is to convert the numbers into impartial fractions. $6 = \frac{18}{3}$ $6=18/3$ and $3 = \frac{18}{6}$ $3=18/6$ .

You would then add these numbers to your fractions to get improper fractions:
$(\frac{18}{3} + \frac{2}{3}) \cdot (\frac{18}{6} + \frac{3}{6})$ $(18/3+2/3)*(18/6+3/6)$

Simplify them into $\frac{20}{3} \cdot \frac{21}{6}$ $20/3*21/6$ and multiply as usual to get $\frac{420}{18}$ $420/18$ , or $\frac{70}{3}$ $70/3$ .

Answer 2 · 2017-05-27T00:15:32

$= 23 \frac{1}{3}$ $= 23 1/3$

Explanation:

For multiplying with mixed numbers, change them to improper fractions first:

$6 \frac{2}{3} \times 3 \frac{3}{6} \leftarrow \frac{3}{6} = \frac{1}{2}$ $6 2/3 xx 3 3/6" "larr 3/6= 1/2$

$= 6 \frac{2}{3} \times 3 \frac{1}{2}$ $= 6 2/3 xx 3 1/2$

$= cancel20^10/3 xx7/cancel2" "larr$ cancel where possible

$=70/3$

$= 23 1/3$

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2 Answers

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Explanation:

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