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Let’s check out your problem:
Divide.
\newline
1
5
6
1\frac{5}{6}
1
6
5
÷
\div
÷
1
1
6
1\frac{1}{6}
1
6
1
= _____
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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions
Full solution
Q.
Divide.
\newline
1
5
6
1\frac{5}{6}
1
6
5
÷
\div
÷
1
1
6
1\frac{1}{6}
1
6
1
= _____
Convert to Improper Fractions:
Convert mixed numbers to improper
fractions
.
\newline
1
5
6
=
(
6
×
1
+
5
)
6
=
11
6
1 \frac{5}{6} = \frac{(6\times1 + 5)}{6} = \frac{11}{6}
1
6
5
=
6
(
6
×
1
+
5
)
=
6
11
\newline
1
1
6
=
(
6
×
1
+
1
)
6
=
7
6
1 \frac{1}{6} = \frac{(6\times1 + 1)}{6} = \frac{7}{6}
1
6
1
=
6
(
6
×
1
+
1
)
=
6
7
Perform Division:
Perform the division of the two improper fractions.
\newline
(
11
6
)
÷
(
7
6
)
=
(
11
6
)
×
(
6
7
)
=
66
42
(\frac{11}{6}) \div (\frac{7}{6}) = (\frac{11}{6}) \times (\frac{6}{7}) = \frac{66}{42}
(
6
11
)
÷
(
6
7
)
=
(
6
11
)
×
(
7
6
)
=
42
66
Simplify Fraction:
Simplify the
fraction
66
42
\frac{66}{42}
42
66
.
\newline
Divide numerator and denominator by their greatest common divisor, which is
6
6
6
.
\newline
66
42
=
11
7
\frac{66}{42} = \frac{11}{7}
42
66
=
7
11
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\newline
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\newline
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\newline
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