# Factor 12/15+10/14

1215+1014
To write 1215 as a fraction with a common denominator, multiply by 1414.
1215⋅1414+1014
To write 1014 as a fraction with a common denominator, multiply by 1515.
1215⋅1414+1014⋅1515
Write each expression with a common denominator of 210, by multiplying each by an appropriate factor of 1.
Multiply 1215 and 1414.
12⋅1415⋅14+1014⋅1515
Multiply 15 by 14.
12⋅14210+1014⋅1515
Multiply 1014 and 1515.
12⋅14210+10⋅1514⋅15
Multiply 14 by 15.
12⋅14210+10⋅15210
12⋅14210+10⋅15210
Combine the numerators over the common denominator.
12⋅14+10⋅15210
Simplify the numerator.
Multiply 12 by 14.
168+10⋅15210
Multiply 10 by 15.
168+150210
318210
318210
Cancel the common factor of 318 and 210.
Factor 6 out of 318.
6(53)210
Cancel the common factors.
Factor 6 out of 210.
6⋅536⋅35
Cancel the common factor.
6⋅536⋅35
Rewrite the expression.
5335
5335
5335
Factor 12/15+10/14

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