HELLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPZZZZZZZ!!!!!
hint: Please, compute this quantities, first: \[\begin{gathered} 4\frac{2}{7} = 4 + \frac{2}{7} = \frac{{\left( {4 \times 7} \right) + 2}}{7} = ...? \hfill \\ \hfill \\ 2\frac{1}{5} = 2 \times \frac{1}{5} = \frac{{\left( {2 \times 5} \right) + 1}}{5} = ...? \hfill \\ \end{gathered} \]
ok........
first one is 4.28?
please write the results as ratios
4/28.
hint: we can write this: \[4\frac{2}{7} = 4 + \frac{2}{7} = \frac{{\left( {4 \times 7} \right) + 2}}{7} = \frac{{28 + 2}}{7} = ...?\] please complete
30/7?
yes! Next we have: \[2\frac{1}{5} = 2 \times \frac{1}{5} = \frac{{\left( {2 \times 5} \right) + 1}}{5} = \frac{{10 + 1}}{5} = ...?\]
11/5
yes! so we can write: \[4\frac{2}{7} \cdot 2\frac{1}{5} = \frac{{30}}{7} \times \frac{{11}}{5} = ...?\]
= 9/42?
hint: \[4\frac{2}{7} \cdot 2\frac{1}{5} = \frac{{30}}{7} \times \frac{{11}}{5} = \frac{{30 \times 11}}{{7 \times 5}} = ...?\]
330/35
correct! now we have to reduce such ratio. In order to do taht we can divide numerator and denominator by 5. SO what is: \(330/5=...?\) and \(35/5=...?\)
66 and 7
that's right, so the final result is: \[\Large 4\frac{2}{7} \cdot 2\frac{1}{5} = \frac{{30}}{7} \times \frac{{11}}{5} = \frac{{30 \times 11}}{{7 \times 5}} = \frac{{{\mathbf{66}}}}{{\mathbf{7}}}\]
but you have to convert to a improper.
yes! Then please what is \(66:7=...?\) please wrie the answer without the decimal part
write*
wait, what do the two dots mean?
I asked the result of this division: \(66/7=...?\) I have used this symbol \(:\) instead of \(/\)
shoot.
quotient is...? remainder is...?
ok, i had to calculate it, and i keep on getting 9.42.
therefore quotient is 9, so we get \(9 \times 7=63\) and remainder is \(66-63=3\) am I right?
yes.
so, the requested answer is: \[\large 4\frac{2}{7} \cdot 2\frac{1}{5} = \frac{{30}}{7} \times \frac{{11}}{5} = \frac{{30 \times 11}}{{7 \times 5}} = \frac{{66}}{7} = {\mathbf{9}}\frac{{\mathbf{3}}}{{\mathbf{7}}}\]
thx.
:)
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