simplify:
8 1/2 -- 2 3/4
Answers
Answer:
Step-by-step explanation:
A mixed number is an addition of its whole and fractional parts.
−
(
8
+
1
2
)
+
2
3
4
Add
8
and
1
2
.
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To write
8
as a fraction with a common denominator, multiply by
2
2
.
−
(
8
⋅
2
2
+
1
2
)
+
2
3
4
Combine
8
and
2
2
.
−
(
8
⋅
2
2
+
1
2
)
+
2
3
4
Combine the numerators over the common denominator.
−
8
⋅
2
+
1
2
+
2
3
4
Simplify the numerator.
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Multiply
8
by
2
.
−
16
+
1
2
+
2
3
4
Add
16
and
1
.
−
17
2
+
2
3
4
Convert
2
3
4
to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
−
17
2
+
2
+
3
4
Add
2
and
3
4
.
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To write
2
as a fraction with a common denominator, multiply by
4
4
.
−
17
2
+
2
⋅
4
4
+
3
4
Combine
2
and
4
4
.
−
17
2
+
2
⋅
4
4
+
3
4
Combine the numerators over the common denominator.
−
17
2
+
2
⋅
4
+
3
4
Simplify the numerator.
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Multiply
2
by
4
.
−
17
2
+
8
+
3
4
Add
8
and
3
.
−
17
2
+
11
4
To write
−
17
2
as a fraction with a common denominator, multiply by
2
2
.
−
17
2
⋅
2
2
+
11
4
Write each expression with a common denominator of
4
, by multiplying each by an appropriate factor of
1
.
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Multiply
17
2
and
2
2
.
−
17
⋅
2
2
⋅
2
+
11
4
Multiply
2
by
2
.
−
17
⋅
2
4
+
11
4
Combine the numerators over the common denominator.
−
17
⋅
2
+
11
4
Simplify the numerator.
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Multiply
−
17
by
2
.
−
34
+
11
4
Add
−
34
and
11
.
−
23
4
Move the negative in front of the fraction.
−
23
4
The result can be shown in multiple forms.
Exact Form:
−
23
4
Decimal Form:
−
5.75
Mixed Number Form:
−
5
3
4
To simplify a problem, simplify 2+2 with your actual problem.
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