Answer:
Explanation:
Convert the mixed number
2
1
9
into an improper fraction first by multiplying the denominator
(
9
)
by the whole number part
(
2
)
and add the numerator
(
1
)
to get the new numerator. Place the new numerator
(
19
)
over the old denominator
(
9
)
.
19
9
−
7
6
To write
19
9
as a fraction with a common denominator, multiply by
2
2
.
19
9
⋅
2
2
−
7
6
To write
7
6
as a fraction with a common denominator, multiply by
3
3
.
19
9
⋅
2
2
−
7
6
⋅
3
3
Write each expression with a common denominator of
18
, by multiplying each by an appropriate factor of
1
.
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19
⋅
2
18
−
7
⋅
3
18
Combine the numerators over the common denominator.
19
⋅
2
−
7
⋅
3
18
Simplify the numerator.
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17
18
The result can be shown in multiple forms.
Exact Form:
17
18
Decimal Form:
0.9
¯
4
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