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\begin{tabular}{|c|c|c|}
\newline
\hline
2
2
2
&
8
8
8
&
x
\mathrm{x}
x
\\
\newline
\hline
11
11
11
&
1
1
1
&
122
122
122
\\
\newline
\hline
4
4
4
&
7
7
7
&
23
23
23
\\
\newline
\hline
\newline
\end{tabular}
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Math Problems
Grade 7
Divide mixed numbers
Full solution
Q.
\begin{tabular}{|c|c|c|}
\newline
\hline
2
2
2
&
8
8
8
&
x
\mathrm{x}
x
\\
\newline
\hline
11
11
11
&
1
1
1
&
122
122
122
\\
\newline
\hline
4
4
4
&
7
7
7
&
23
23
23
\\
\newline
\hline
\newline
\end{tabular}
Multiply fractions:
Now, multiply
1
4
\frac{1}{4}
4
1
by
11
1
\frac{11}{1}
1
11
. This is straightforward:
1
4
×
11
1
=
11
4
\frac{1}{4} \times \frac{11}{1} = \frac{11}{4}
4
1
×
1
11
=
4
11
.
Divide fractions:
Next, divide
11
4
\frac{11}{4}
4
11
by
4
7
\frac{4}{7}
7
4
. To do this, multiply
11
4
\frac{11}{4}
4
11
by the reciprocal of
4
7
\frac{4}{7}
7
4
, which is
7
4
\frac{7}{4}
4
7
. So,
11
4
×
7
4
=
77
16
\frac{11}{4} \times \frac{7}{4} = \frac{77}{16}
4
11
×
4
7
=
16
77
.
Multiply by whole number:
Finally, multiply
77
16
\frac{77}{16}
16
77
by
23
23
23
. This is
77
16
×
23
1
=
1771
16
\frac{77}{16} \times \frac{23}{1} = \frac{1771}{16}
16
77
×
1
23
=
16
1771
.
Final division:
To get the final answer, divide
1771
1771
1771
by
16
16
16
.
1771
1771
1771
divided by
16
16
16
is
110.6875
110.6875
110.6875
.
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