Multiply 4 14/15*1 7/38

Math
41415⋅1738
Convert 41415 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
(4+1415)⋅1738
Add 4 and 1415.
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To write 4 as a fraction with a common denominator, multiply by 1515.
(4⋅1515+1415)⋅1738
Combine 4 and 1515.
(4⋅1515+1415)⋅1738
Combine the numerators over the common denominator.
4⋅15+1415⋅1738
Simplify the numerator.
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Multiply 4 by 15.
60+1415⋅1738
Add 60 and 14.
7415⋅1738
7415⋅1738
7415⋅1738
7415⋅1738
Convert 1738 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7415⋅(1+738)
Add 1 and 738.
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Write 1 as a fraction with a common denominator.
7415⋅(3838+738)
Combine the numerators over the common denominator.
7415⋅38+738
Add 38 and 7.
7415⋅4538
7415⋅4538
7415⋅4538
Cancel the common factor of 2.
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Factor 2 out of 74.
2(37)15⋅4538
Factor 2 out of 38.
2⋅3715⋅452⋅19
Cancel the common factor.
2⋅3715⋅452⋅19
Rewrite the expression.
3715⋅4519
3715⋅4519
Cancel the common factor of 15.
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Factor 15 out of 45.
3715⋅15(3)19
Cancel the common factor.
3715⋅15⋅319
Rewrite the expression.
37⋅319
37⋅319
Combine 37 and 319.
37⋅319
Multiply 37 by 3.
11119
The result can be shown in multiple forms.
Exact Form:
11119
Decimal Form:
5.84210526…
Mixed Number Form:
51619
Multiply 4 14/15*1 7/38

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