Simplify 1 1/2+6 4/7

Math
112+647
Convert 112 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1+12+647
Add 1 and 12.
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Write 1 as a fraction with a common denominator.
22+12+647
Combine the numerators over the common denominator.
2+12+647
Add 2 and 1.
32+647
32+647
32+647
Convert 647 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
32+6+47
Add 6 and 47.
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To write 6 as a fraction with a common denominator, multiply by 77.
32+6⋅77+47
Combine 6 and 77.
32+6⋅77+47
Combine the numerators over the common denominator.
32+6⋅7+47
Simplify the numerator.
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Multiply 6 by 7.
32+42+47
Add 42 and 4.
32+467
32+467
32+467
32+467
To write 32 as a fraction with a common denominator, multiply by 77.
32⋅77+467
To write 467 as a fraction with a common denominator, multiply by 22.
32⋅77+467⋅22
Write each expression with a common denominator of 14, by multiplying each by an appropriate factor of 1.
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Multiply 32 and 77.
3⋅72⋅7+467⋅22
Multiply 2 by 7.
3⋅714+467⋅22
Multiply 467 and 22.
3⋅714+46⋅27⋅2
Multiply 7 by 2.
3⋅714+46⋅214
3⋅714+46⋅214
Combine the numerators over the common denominator.
3⋅7+46⋅214
Simplify the numerator.
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Multiply 3 by 7.
21+46⋅214
Multiply 46 by 2.
21+9214
Add 21 and 92.
11314
11314
The result can be shown in multiple forms.
Exact Form:
11314
Decimal Form:
8.07142857…
Mixed Number Form:
8114
Simplify 1 1/2+6 4/7

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