Evaluate (19/8+11/12)/(5/48)

Math
198+1112548
Multiply the numerator by the reciprocal of the denominator.
(198+1112)485
To write 198 as a fraction with a common denominator, multiply by 33.
(198⋅33+1112)485
To write 1112 as a fraction with a common denominator, multiply by 22.
(198⋅33+1112⋅22)485
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
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Multiply 198 and 33.
(19⋅38⋅3+1112⋅22)485
Multiply 8 by 3.
(19⋅324+1112⋅22)485
Multiply 1112 and 22.
(19⋅324+11⋅212⋅2)485
Multiply 12 by 2.
(19⋅324+11⋅224)485
(19⋅324+11⋅224)485
Combine the numerators over the common denominator.
19⋅3+11⋅224⋅485
Simplify the numerator.
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Multiply 19 by 3.
57+11⋅224⋅485
Multiply 11 by 2.
57+2224⋅485
Add 57 and 22.
7924⋅485
7924⋅485
Cancel the common factor of 24.
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Factor 24 out of 48.
7924⋅24(2)5
Cancel the common factor.
7924⋅24⋅25
Rewrite the expression.
79(25)
79(25)
Combine 79 and 25.
79⋅25
Multiply 79 by 2.
1585
The result can be shown in multiple forms.
Exact Form:
1585
Decimal Form:
31.6
Mixed Number Form:
3135
Evaluate (19/8+11/12)/(5/48)

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