Factor 5/14+9/10

Math
514+910
To write 514 as a fraction with a common denominator, multiply by 55.
514⋅55+910
To write 910 as a fraction with a common denominator, multiply by 77.
514⋅55+910⋅77
Write each expression with a common denominator of 70, by multiplying each by an appropriate factor of 1.
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Multiply 514 and 55.
5⋅514⋅5+910⋅77
Multiply 14 by 5.
5⋅570+910⋅77
Multiply 910 and 77.
5⋅570+9⋅710⋅7
Multiply 10 by 7.
5⋅570+9⋅770
5⋅570+9⋅770
Combine the numerators over the common denominator.
5⋅5+9⋅770
Simplify the numerator.
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Multiply 5 by 5.
25+9⋅770
Multiply 9 by 7.
25+6370
Add 25 and 63.
8870
8870
Cancel the common factor of 88 and 70.
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Factor 2 out of 88.
2(44)70
Cancel the common factors.
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Factor 2 out of 70.
2⋅442⋅35
Cancel the common factor.
2⋅442⋅35
Rewrite the expression.
4435
4435
4435
Factor 5/14+9/10
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