Simplify (3/2+1/8)-(1/4+1/8)

Math
(32+18)-(14+18)
Simplify each term.
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To write 14 as a fraction with a common denominator, multiply by 22.
32+18-(14⋅22+18)
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 14 and 22.
32+18-(24⋅2+18)
Multiply 4 by 2.
32+18-(28+18)
32+18-(28+18)
Combine the numerators over the common denominator.
32+18-2+18
Add 2 and 1.
32+18-38
32+18-38
Simplify terms.
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Combine fractions with similar denominators.
32+1-38
Subtract 3 from 1.
32+-28
Cancel the common factor of -2 and 8.
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Factor 2 out of -2.
32+2(-1)8
Cancel the common factors.
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Factor 2 out of 8.
32+2⋅-12⋅4
Cancel the common factor.
32+2⋅-12⋅4
Rewrite the expression.
32+-14
32+-14
32+-14
Move the negative in front of the fraction.
32-14
32-14
To write 32 as a fraction with a common denominator, multiply by 22.
32⋅22-14
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
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Multiply 32 and 22.
3⋅22⋅2-14
Multiply 2 by 2.
3⋅24-14
3⋅24-14
Combine the numerators over the common denominator.
3⋅2-14
Simplify the numerator.
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Multiply 3 by 2.
6-14
Subtract 1 from 6.
54
54
The result can be shown in multiple forms.
Exact Form:
54
Decimal Form:
1.25
Mixed Number Form:
114
Simplify (3/2+1/8)-(1/4+1/8)

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