Answer:
[tex]\frac{113}{12}[/tex] or [tex]9 \frac{5}{12}[/tex]
Step-by-step explanation:
Write the problem as a mathematical expression.
5
1
6
+
4
1
4
Convert
5
1
6
to an improper fraction.
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31
6
+
4
1
4
Convert
4
1
4
to an improper fraction.
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31
6
+
17
4
To write
31
6
as a fraction with a common denominator, multiply by
2
2
.
31
6
⋅
2
2
+
17
4
To write
17
4
as a fraction with a common denominator, multiply by
3
3
.
31
6
⋅
2
2
+
17
4
⋅
3
3
Write each expression with a common denominator of
12
, by multiplying each by an appropriate factor of
1
.
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31
⋅
2
12
+
17
⋅
3
12
Combine the numerators over the common denominator.
31
⋅
2
+
17
⋅
3
12
Simplify the numerator.
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113
12
The result can be shown in multiple forms.
Exact Form:
113
12
Decimal Form:
9.41
¯
6
Mixed Number Form:
9
5
12
